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:

1440 / 15.652173913043 = b ((792 / 2 - 92) / 15.652173913043 - b) b^{2} - 19.422 b + 92 = 0 p = 1; q = - 19.422; r = 92 D = q^{2} - 4 p r = 19.42 2^{2} - 4 \cdot 1 \cdot 92 = 9.2227160494 D > 0 b_{1, 2} = \frac{- q \pm D}{2 p} = \frac{1 9 . 4 2 \pm 9 . 2 2}{2} b_{1, 2} = 9.711111 \pm 1.518446 b_{1} = 11.229557361 b_{2} = 8.192664862 Factored form of the equation: (b - 11.229557361) (b - 8.192664862) = 0

Solution in text:

b²-19.422222222223b+92.000000000003=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 9.2227160494
D > 0 ... The equation has two distinct real roots

b₁ = 11.2295574
b₂ = 8.1926649

P = {11.2295574; 8.1926649}