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:

Solution in text:

-5b²+75b-250=0 ... quadratic equation

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

b₁ = 10
b₂ = 5

P = {10; 5}