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:

0.075000000000045t²-15.277777777t+700=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 23.4104938033
D > 0 ... The equation has two distinct real roots

t₁ = 134.1081131
t₂ = 69.5955906

P = {134.1081131; 69.5955906}