Quadratic Equation Solver

Gives the solutions x₁ and x₂ to the quadratic equation Ax² + Bx + C = 0

How to use the quadratic equation solver

In order to solve quadratic equation using this calculator, you first have to identify the values of A, B and C in your equation. Below is a couple of examples of quadratic equations and how you extract A, B and C from them.

3x² − 4x + 2 = 0 ⇒ 3x² + -4x + 2 = 0 ⇒ A = 3, B = -4, C = 2

B-value is negative since in the ABC equation you add the three terms.

x² − x = 1 ⇒ 1x² + -1x + -1 = 0 ⇒ A = 1, B = -1, C = -1

Both sides of the equation have been subtracted by 1 since the expression should equal 0.

2x² + 6x = 0 ⇒ 2x² + 6x + 0 = 0 ⇒ A = 2, B = 6, C = 0

When the constant term is missing as in this case, you know for certain that one of the solutions is 0, since the equation in that case also can be written as (Ax + B)x = 0. More info on this here: http://en.wikipedia.org/wiki/Zero-product_property.