## A Worked example to illustrate how the quadratic calculator Works:

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 2^{nd} 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
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