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:

-5.1961524227066a²-30a+140=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 3809.8453567157
D > 0 ... The equation has two distinct real roots

a₁ = 3.052638
a₂ = -8.8261407

P = {3.052638; -8.8261407}