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Resources to Help You Solve Math Equations
Whether you love math or suffer through every single problem, there are plenty of resources to help you solve math equations. Skip the tutor and log on to load these awesome websites for a fantastic free equation solver or simply to find answers for solving equations on the Internet.
Stand By for Automatic Math Solutions at Quick Math
The Quick Math website offers easy answers for solving equations along with a simple format that makes math a breeze. Load the website to browse tutorials, set up a polynomial equation solver, or to factor or expand fractions. From algebra to calculus and graphs, Quick Math provides not just the answers to your tough math problems but a step-by-step problem-solving calculator. Use the input bar to enter your equation, and click on the “simplify” button to explore the problem and its solution. Choose some sample problems to practice your math skills, or move to another tab for a variety of math input options. Quick Math makes it easy to learn how to solve this equation even when you’re completely confused.
Modern Math Answers Come From Mathway
Mathway offers a free equation solver that sifts through your toughest math problems — and makes math easy. Simply enter your math problem into the Mathway calculator, and choose what you’d like the math management program to do with the problem. Pick from math solutions that include graphing, simplifying, finding a slope or solving for a y-intercept by scrolling through the Mathway drop-down menu. Use the answers for solving equations to explore different types of solutions, or set the calculator to offer the best solution for your particular math puzzle. Mathway offers the option to create an account, to sign in or sign up for additional features or to simply stick with the free equation solver.
Wyzant — Why Not?
Wyzant offers a variety of answers when it comes to “how to solve this equation” questions. Sign up to find a tutor trained to offer online sessions that increase your math understanding, or jump in with the calculator that helps you simplify math equations. A quick-start guide makes it easy to understand exactly how to use the Wyzant math solutions pages, while additional resources provide algebra worksheets, a polynomial equation solver, math-related blogs to promote better math skills and lesson recording. Truly filled with math solutions, Wyzant provides more than just an equation calculator and actually connects you with people who are trained to teach the math you need. Prices for tutoring vary greatly, but access to the website and its worksheets is free.
Take in Some WebMath
Log onto the WebMath website, and browse through the tabs that include Math for Everyone, Trig and Calculus, General Math and even K-8 Math. A simple drop-down box helps you to determine what type of math help you need, and then you easily add your problem to the free equation solver. WebMath provides plenty of options for homeschoolers with lesson plans, virtual labs and family activities.
Khan Academy Offers More Than Answers
A free equation solver is just the beginning when it comes to awesome math resources at Khan Academy. Free to use and filled with videos that offer an online teaching experience, Khan Academy helps you to simplify math equations, shows you how to solve equations and provides full math lessons from Kindergarten to SAT test preparation. Watch the video for each math problem, explore the sample problems, and increase your math skills right at home with Khan Academy’s easy-to-follow video learning experience. Once you’ve completed your math video, move onto practice problems that help to increase your confidence in your math skills.
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Online Calculators
Quadratic Formula Calculator
Calculator Use
This online calculator is a quadratic equation solver that will solve a second-order polynomial equation such as ax 2 + bx + c = 0 for x, where a ≠ 0, using the quadratic formula .
The calculator solution will show work using the quadratic formula to solve the entered equation for real and complex roots. Calculator determines whether the discriminant \( (b^2 - 4ac) \) is less than, greater than or equal to 0.
When \( b^2 - 4ac = 0 \) there is one real root.
When \( b^2 - 4ac > 0 \) there are two real roots.
When \( b^2 - 4ac < 0 \) there are two complex roots.
Quadratic Formula:
The quadratic formula
is used to solve quadratic equations where a ≠ 0 (polynomials with an order of 2)
Quadratic Equation Calculator
Solve quadratic equations step-by-step.
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Most Used Actions
Number line.
- ax^2+bx+c=0
- x^2+2x+1=3x-10
- 2x^2+4x-6=0
Frequently Asked Questions (FAQ)
How do you calculate a quadratic equation.
- To solve a quadratic equation, use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a).
What is the quadratic formula?
- The quadratic formula gives solutions to the quadratic equation ax^2+bx+c=0 and is written in the form of x = (-b ± √(b^2 - 4ac)) / (2a)
Does any quadratic equation have two solutions?
- There can be 0, 1 or 2 solutions to a quadratic equation. If the discriminant is positive there are two solutions, if negative there is no solution, if equlas 0 there is 1 solution.
What is quadratic equation in math?
- In math, a quadratic equation is a second-order polynomial equation in a single variable. It is written in the form: ax^2 + bx + c = 0 where x is the variable, and a, b, and c are constants, a ≠ 0.
How do you know if a quadratic equation has two solutions?
- A quadratic equation has two solutions if the discriminant b^2 - 4ac is positive.
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Quadratic Formula Calculator
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Quadratic Formula Calculator
The calculator below solves the quadratic equation of ax 2 + bx + c = 0 .
In algebra, a quadratic equation is any polynomial equation of the second degree with the following form:
ax 2 + bx + c = 0
where x is an unknown, a is referred to as the quadratic coefficient, b the linear coefficient, and c the constant. The numerals a , b , and c are coefficients of the equation, and they represent known numbers. For example, a cannot be 0, or the equation would be linear rather than quadratic. A quadratic equation can be solved in multiple ways, including factoring, using the quadratic formula, completing the square, or graphing. Only the use of the quadratic formula, as well as the basics of completing the square, will be discussed here (since the derivation of the formula involves completing the square). Below is the quadratic formula, as well as its derivation.
Derivation of the Quadratic Formula
From this point, it is possible to complete the square using the relationship that:
x 2 + bx + c = (x - h) 2 + k
Continuing the derivation using this relationship:
Recall that the ± exists as a function of computing a square root, making both positive and negative roots solutions of the quadratic equation. The x values found through the quadratic formula are roots of the quadratic equation that represent the x values where any parabola crosses the x-axis. Furthermore, the quadratic formula also provides the axis of symmetry of the parabola. This is demonstrated by the graph provided below. Note that the quadratic formula actually has many real-world applications, such as calculating areas, projectile trajectories, and speed, among others.
Quadratic Equation Solver
We can help you solve an equation of the form " ax 2 + bx + c = 0 " Just enter the values of a, b and c below :
Is it Quadratic?
Only if it can be put in the form ax 2 + bx + c = 0 , and a is not zero .
The name comes from "quad" meaning square, as the variable is squared (in other words x 2 ).
These are all quadratic equations in disguise:
How Does this Work?
The solution(s) to a quadratic equation can be calculated using the Quadratic Formula :
The "±" means we need to do a plus AND a minus, so there are normally TWO solutions !
The blue part ( b 2 - 4ac ) is called the "discriminant", because it can "discriminate" between the possible types of answer:
- when it is positive, we get two real solutions,
- when it is zero we get just ONE solution,
- when it is negative we get complex solutions.
Learn more at Quadratic Equations
Note: you can still access the old version here .
Quadratic Formula Calculator
Enter the equation you want to solve using the quadratic formula.
The Quadratic Formula Calculator finds solutions to quadratic equations with real coefficients. For equations with real solutions, you can use the graphing tool to visualize the solutions.
Quadratic Formula : x = − b ± b 2 − 4 a c 2 a
Click the blue arrow to submit. Choose "Solve Using the Quadratic Formula" from the topic selector and click to see the result in our Algebra Calculator !
Solve Using the Quadratic Formula Apply the Quadratic Formula
Popular Problems
Solve Using the Quadratic Formula x 2 + 5 x + 6 = 0 Solve Using the Quadratic Formula x 2 - 9 = 0 Solve Using the Quadratic Formula 5 x 2 - 7 x - 3 = 0 Apply the Quadratic Formula x 2 - 14 x + 49 Apply the Quadratic Formula x 2 - 18 x - 4
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Online Equation Solver
Solve linear, quadratic and polynomial systems of equations with wolfram|alpha.
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More than just an online equation solver
Wolfram|Alpha is a great tool for finding polynomial roots and solving systems of equations. It also factors polynomials, plots polynomial solution sets and inequalities and more.
Learn more about:
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Tips for entering queries
Enter your queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to formulate queries.
- find roots to quadratic x^2-7x+12
- plot inequality x^2-7x+12<=0
- solve {3x-5y==2,x+2y==-1}
- plot inequality 3x-5y>=2 and x+2y<=-1
- solve 3x^2-y^2==2 and x+2y^2==5
- plot 3x^2-y^2>=2 and x+2y^2<=5
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About solving equations
A value is said to be a root of a polynomial if ..
The largest exponent of appearing in is called the degree of . If has degree , then it is well known that there are roots, once one takes into account multiplicity. To understand what is meant by multiplicity, take, for example, . This polynomial is considered to have two roots, both equal to 3.
One learns about the "factor theorem," typically in a second course on algebra, as a way to find all roots that are rational numbers. One also learns how to find roots of all quadratic polynomials, using square roots (arising from the discriminant) when necessary. There are more advanced formulas for expressing roots of cubic and quartic polynomials, and also a number of numeric methods for approximating roots of arbitrary polynomials. These use methods from complex analysis as well as sophisticated numerical algorithms, and indeed, this is an area of ongoing research and development.
Systems of linear equations are often solved using Gaussian elimination or related methods. This too is typically encountered in secondary or college math curricula. More advanced methods are needed to find roots of simultaneous systems of nonlinear equations. Similar remarks hold for working with systems of inequalities: the linear case can be handled using methods covered in linear algebra courses, whereas higher-degree polynomial systems typically require more sophisticated computational tools.
How Wolfram|Alpha solves equations
For equation solving, Wolfram|Alpha calls the Wolfram Language's Solve and Reduce functions, which contain a broad range of methods for all kinds of algebra, from basic linear and quadratic equations to multivariate nonlinear systems. In some cases, linear algebra methods such as Gaussian elimination are used, with optimizations to increase speed and reliability. Other operations rely on theorems and algorithms from number theory, abstract algebra and other advanced fields to compute results. These methods are carefully designed and chosen to enable Wolfram|Alpha to solve the greatest variety of problems while also minimizing computation time.
Although such methods are useful for direct solutions, it is also important for the system to understand how a human would solve the same problem. As a result, Wolfram|Alpha also has separate algorithms to show algebraic operations step by step using classic techniques that are easy for humans to recognize and follow. This includes elimination, substitution, the quadratic formula, Cramer's rule and many more.
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Quadratic equation root calculator
Want to calculate? Get Solutions Here:
Enter a math problem on an Equation in the text area Above
Example x^2-2x+3=4 -OR- 2x-y=9 Click the button to Solve!
Graphical Solution of Equations:
A worked example to illustrate how the quadratic calculator works:.
This quadratic equation root calculator lets you find the roots or zeroes of a quadratic equation. A quadratic is a second degree polynomial of the form: ax^2+bx+c=0 where a\neq 0 . To solve an equation using the online calculator, simply enter the math problem in the text area provided. Hit the calculate button to get the roots. A quadratic equation has two roots or zeroes namely; Root1 and Root2.
An equation root calculator that shows steps
Learning math with examples is the best approach. With our online calculator, you can learn how to find the roots of quadratics step by step. First, find the roots or solutions your way, and then use the roots calculator to confirm your answer. The calculator uses the quadratic formula to find the roots of a quadratic equation.
Solved quadratic equation examples
x^2 -6x + 3 = 0
x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }
x = \dfrac{ -(-6) \pm \sqrt{(-6)^2 - 4(1)(3)}}{ 2(1) }
x = \dfrac{ 6 \pm \sqrt{36 - 12}}{ 2 }
x = \dfrac{ 6 \pm \sqrt{24}}{ 2 }
x = \frac{ 6 \pm 2 \sqrt{6}}{ 2 }
x = = 3+\sqrt{6} Or x = 3- \sqrt{6}
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How the Quadratic formula root calculator works
The online roots calculator is simple to use. Furthermore, the calculator can be used to find roots of varied problems. Whether the roots are real or complex, the calculator is able show a step by step solution.
To use this calculator, Insert your math expression on the textarea provided. Note you should only use the allowed notations and characters in order to obtain correct solution. Once you have the right expression or equation, Hit the calculate button to get started. The calculator will show you all the steps together with the reasoning or explanation behind each of the steps.
Acceptable Math symbols and their usage If you choose to write your mathematical statements, here is a list of acceptable math symbols and operators.
- + Used for Addition
- - Used for Subtraction
- * multiplication operator symbol
- / Division operator
- ^ Used for exponent or to Raise to Power
- sqrt Square root operator
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Online calculator. Quadratic equation solver.
This online calculator will help you to solve quadratic equation.
Using this online calculator, you will receive a detailed step-by-step solution to your problem, which will help you understand the algorithm how to solve quadratic equation.
Quadratic equation solver
Guide how to enter data into the quadratic equation solver:.
- enter your quadratic equation into the calculator;
- press the button to perform calculations.
Additional features of the quadratic equation solver
- С - clear the input field.
- - delete one character.
- to move between calculator fields.
Rules. Quadratic equation.
a x 2 + b x + c = 0,
a x i 2 + b x i + c = 0.
Quadratic Formula.
Expression (∆ = b 2 - 4 a c ) is called the discriminant .
- If the discriminant is positive (∆ > 0), then there are two distinct roots, both of which are real numbers.
- If the discriminant is zero (∆ = 0), then there is exactly one distinct real root, sometimes called a double root ( x 1 = x 2 ).
- If the discriminant is negative (∆ < 0), then there are no real roots.
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IMAGES
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The four steps for solving an equation include the combination of like terms, the isolation of terms containing variables, the isolation of the variable and the substitution of the answer into the original equation to check the answer.
To calculate the discriminant of a quadratic equation, put the equation in standard form. Substitute the coefficients from the equation into the formula b^2-4ac. The value of the discriminant indicates what kind of solutions that particular...
Whether you love math or suffer through every single problem, there are plenty of resources to help you solve math equations. Skip the tutor and log on to load these awesome websites for a fantastic free equation solver or simply to find an...
This online calculator is a quadratic equation solver that will solve a second-order polynomial equation such as ax2 + bx + c = 0 for x, where a ≠ 0
To solve a quadratic equation, use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a). What is the quadratic formula? The quadratic formula gives solutions
What do you want to calculate? · Solve · Solve for Variable · Practice Mode · Simplify · Factor · Step-By-Step · Evaluate · Graph
A quadratic equation can be solved in multiple ways, including factoring, using the quadratic formula, completing the square, or graphing. Only the use of the
How Does this Work? · when it is positive, we get two real solutions, · when it is zero we get just ONE solution, · when it is negative we get complex solutions.
Enter the equation you want to solve using the quadratic formula. The Quadratic Formula Calculator finds solutions to quadratic equations with real coefficients
Wolfram|Alpha can apply the quadratic formula to solve equations coercible into the form ax2+bx
Free Online Equation Calculator helps you to solve linear, quadratic and polynomial systems of equations. Answers, graphs, alternate forms.
Enter the coefficients for the Ax2 + Bx + C = 0 equation and Quadratic Equation will output the solutions (if they are not imaginary).
A quadratic is a second degree polynomial of the form: $ax^2+bx+c=0$ a x 2+ b x + c =0 where $a\ne0$ a ≠0. To solve an equation using the online calculator
This online calculator will help you to solve quadratic equation. Using this online calculator, you will receive a detailed step-by-step solution to your