Quadratic formula calculator step-by-step Solution

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!

Examples:

2x-y=0 Solve for variables Example
2x^2-2x+3=0 Quadratic Equation Example
x^2-5x-8=0 Quadratic Equation Example
2-3=0 Evaluate Example
2x-2y-xy Simplify/ Evaluate Example
2x^2-2x+6=0 Solve for variables Example
4x+2=2(x+6) Simplify Example

Graphical Solution of Equations:

A Worked example to illustrate how the quadratic calculator Works:

Worked Algebra example

A quadratic equation is a second degree polynomial of the form ax^2+bx+c=0 where a, b, c are constants, a\neq 0;

A Quadratic formula calculator is an equation solver that helps you find solution for quadratic equations using the quadratic formula.

The calculator works the entered math problem using the quadratic formula. More importantly, the calculator will give you a step by step solution that is easy to understand.

Normally a quadratic equation will have two roots or two solutions. A solution can either be real, or complex depending on the value of the discriminant.

This online calculator also helps you find the discriminant D= (b^2-4ac). A quadratic will have real rots if and only if D >=0. On the other hand if D<0, then we have two complex roots. If D=0, then the Equation only has one real root.

The quadratic formula approach to 2nd Degree polynomial

A quadratic equation or a second degree polynomial of the form ax^2+bx+c=0 where a,b,c are constants with a\neq 0 can be solved using the quadratic formula

x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }

Two solution values for the variable will be obtained.

Solved quadratic equation examples

x^2 + -6x + 5 = 0

x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }

x = \frac{ -(-6) \pm \sqrt{(-6)^2 - 4(1)(5)}}{ 2(1) }

x = \frac{ 6 \pm \sqrt{36 - 20}}{ 2 }

x = \frac{ 6 \pm \sqrt{16}}{ 2 }

 

x = \frac{ 6 \pm 4 }{ 2 }

x = 1 Or x = 5 

More quadratic formula calculator Solved Examples

How to calculate roots using the quadratic formula

Enter your math expression in the text area provided. Ensure that you use the correct set of notations and symbols.

Once done, hit the calculate button to get roots. This quadratic formula calculator helps you find the roots of a quadratic equation using the quadratic formula. With a step by step solution it is indeed easy to learn algebra at EquationCalc.com.

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
  • sqrtSquare root operator
Pi : Represents the mathematical Constant pi or \pi

Go to Solved Algebra examples with Steps

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