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:

s * ((9 + s) + (4 + s)) = (9 + s) * (4 + s) s^{2} - 36 = 0 s_{1, 2} = \pm 36 = \pm 6 s_{1} = 6 s_{2} = - 6

Solution in text:

s²-36=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 144
D > 0 ... The equation has two distinct real roots

s₁ = 6
s₂ = -6

P = {6; -6}