Quadratic Formula Calculator

A second degree equation of the form Ax2+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

For example, Enter a=1, b=8 and c=16

ax2 + bx + c = 0

A second degree equation of the form Ax2+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 ± √ b2 - 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 ± √( 3^2 - 4 * 2 * (-4))) / (2 * 2)
x = (- 3 ± √(41)) / (4)
x = (- 3 / 4) ± √(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


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