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:

2a²-140a+2196=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 2032
D > 0 ... The equation has two distinct real roots

a₁ = 46.2694277
a₂ = 23.7305723

P = {46.2694277; 23.7305723}