Quadratic equation calculator

Quadratic equation has the basic form:

a x^{2} + b x + c = 0

Enter the quadratic equation's coefficients a, b, and c of its basic standardized form. A solution of quadratic equations is usually two different real or complex roots or one double root — the calculation using the discriminant.

Calculation:

Solution in text:

-2b²+8b+65=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 584
D > 0 ... The equation has two distinct real roots

b₁ = 8.041523
b₂ = -4.041523

P = {8.041523; -4.041523}