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:

48.6 (1 + q) = 6 q^{2} - 6 q^{2} + 48.6 q + 48.6 = 0 6 q^{2} - 48.6 q - 48.6 = 0 a = 6; b = - 48.6; c = - 48.6 D = b^{2} - 4 a c = 48 . 6^{2} - 4 \cdot 6 \cdot (- 48.6) = 3528.36 D > 0 q_{1, 2} = \frac{- b \pm D}{2 a} = \frac{4 8 . 6 \pm 3 5 2 8 . 3 6}{1 2} q_{1, 2} = 4.05 \pm 4.95 q_{1} = 9 q_{2} = - 0.9 Factored form of the equation: 6 (q - 9) (q + 0.9) = 0

Solution in text:

-6q²+48.6q+48.6=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 3528.36
D > 0 ... The equation has two distinct real roots

q₁ = 9
q₂ = -0.9

P = {9; -0.9}