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:

1.732050807568 9^{2} - q^{2} + 4^{2} * (- 1)^{2} = 0 - q^{2} + 19 = 0 q^{2} - 19 = 0 q_{1, 2} = \pm 19 = \pm 4.358898944 q_{1} = 4.358898944 q_{2} = - 4.358898944

Solution in text:

-q²+19=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 76
D > 0 ... The equation has two distinct real roots

q₁ = 4.3588989
q₂ = -4.3588989

P = {4.3588989; -4.3588989}