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:

156h²-7296h+48384=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 23040000
D > 0 ... The equation has two distinct real roots

h₁ = 38.7692308
h₂ = 8

P = {38.7692308; 8}