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:

3 m^{2} + 22 = 49 3 m^{2} - 27 = 0 3 . . . prime number 0 = 0 27 = 3^{3} GCD (3, 0, 27) = 3 = 3 m^{2} - 9 = 0 m_{1, 2} = \pm 9 = \pm 3 m_{1} = 3 m_{2} = - 3

Solution in text:

3m²-27=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 324
D > 0 ... The equation has two distinct real roots

m₁ = 3
m₂ = -3

P = {3; -3}