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:

(a / 2)^{2} + (3 a / 8)^{2} = 2 0^{2} 0.390625 a^{2} - 400 = 0 a_{1, 2} = \pm 400 / 0.390625 = \pm 32 a_{1} = 32 a_{2} = - 32

Solution in text:

0.390625a²-400=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 625
D > 0 ... The equation has two distinct real roots

a₁ = 32
a₂ = -32

P = {32; -32}