# Quadratic Formula Calculator

A second degree equation of the form Ax^{2}+Bx+C = 0 is called as the quadratic equation. Here, A is not equal to zero. This online quadratic formula calculator is used to find the roots (x1,x2) of the quadratic equation.

## Find Roots of Quadratic Equation

A second degree equation of the form Ax^{2}+Bx+C = 0 is called as the quadratic equation. Here, A is not equal to zero. This online quadratic formula calculator is used to find the roots (x1,x2) of the quadratic equation.

#### Formula:

x = (- b ± √ b^{2} - 4 * a * c) / (2 * a)
**Where,**
x = Quadratic Equation
a,b,c = Attributes
An equation 2x^2+3x-2 = 0 is a quadratic equation with 2 as quadratic coefficient, 3 as linear coefficient and -2 as constant. x1 and x2 are roots of the equation.

### Example

#### Roots of Quadratic Equation

Find the roots of the quadratic equation, 2x^2 + 3x -4 = 0, using the quadratic formula

x = (- 3 Â± √( 3^2 - 4 * 2 * (-4))) / (2 * 2)

x = (- 3 Â± √(41)) / (4)

x = (- 3 / 4) Â± √(41) / 4)

Split the equation into two for addition ans subtraction calculation

x1 = (- 3 / 4) + √(41) / 4) and x2 = (- 3 / 4) - √(41) / 4)

Here are the resultant values

x1 = 3. 403124 / 4 = 0.8507

x2 = -9.4031 / 4 = -2.3507