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:

2 x^{2} = 72 2 x^{2} - 72 = 0 2 . . . prime number 0 = 0 72 = 2^{3} \cdot 3^{2} GCD (2, 0, 72) = 2 = 2 x^{2} - 36 = 0 x_{1, 2} = \pm 36 = \pm 6 x_{1} = 6 x_{2} = - 6

Solution in text:

2x²-72=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 576
D > 0 ... The equation has two distinct real roots

x₁ = 6
x₂ = -6

P = {6; -6}