Quadratic Equation Calculator

A quadratic equation has the basic form:

a x^{2} + b x + c = 0

Enter the coefficients a, b, and c of the quadratic equation in its basic standardized form. The solution of a quadratic equation usually consists of two distinct real or complex roots, or one double root — calculated using the discriminant.

Calculation:

- 3 x^{2} - 2 * 25 * x + 25 * 25 = 0 - 3 x^{2} - 50 x + 625 = 0 3 x^{2} + 50 x - 625 = 0 a = 3; b = 50; c = - 625 D = b^{2} - 4 a c = 5 0^{2} - 4 \cdot 3 \cdot (- 625) = 10000 D > 0 x_{1, 2} = \frac{- b \pm D}{2 a} = \frac{- 5 0 \pm 1 0 0 0 0}{6} x_{1, 2} = \frac{- 5 0 \pm 1 0 0}{6} x_{1, 2} = - 8.333333 \pm 16.666667 x_{1} = 8.333333333 x_{2} = - 25 Factored form of the equation: 3 (x - 8.333333333) (x + 25) = 0

Solution in text:

-3x²-50x+625=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 10000
D > 0 ... The equation has two distinct real roots

x₁ = 8.3333333
x₂ = -25

P = {8.3333333; -25}