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:

(x + 8) * (x + 7) = 72 x^{2} + 15 x - 16 = 0 a = 1; b = 15; c = - 16 D = b^{2} - 4 a c = 1 5^{2} - 4 \cdot 1 \cdot (- 16) = 289 D > 0 x_{1, 2} = \frac{- b \pm D}{2 a} = \frac{- 1 5 \pm 2 8 9}{2} x_{1, 2} = \frac{- 1 5 \pm 1 7}{2} x_{1, 2} = - 7.5 \pm 8.5 x_{1} = 1 x_{2} = - 16 Factored form of the equation: (x - 1) (x + 16) = 0

Solution in text:

x²+15x-16=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 289
D > 0 ... The equation has two distinct real roots

x₁ = 1
x₂ = -16

P = {1; -16}