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:

- 5 x^{2} + 7 = 0 - 5 x^{2} + 7 = 0 5 x^{2} - 7 = 0 x_{1, 2} = \pm 7 / 5 = \pm 1.183215957 x_{1} = 1.183215957 x_{2} = - 1.183215957

Solution in text:

-5x²+7=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 140
D > 0 ... The equation has two distinct real roots

x₁ = 1.183216
x₂ = -1.183216

P = {1.183216; -1.183216}