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:

- 7 x^{2} + 4 = 0 - 7 x^{2} + 4 = 0 7 x^{2} - 4 = 0 x_{1, 2} = \pm 4 / 7 = \pm 0.755928946 x_{1} = 0.755928946 x_{2} = - 0.755928946

Solution in text:

-7x²+4=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 112
D > 0 ... The equation has two distinct real roots

x₁ = 0.7559289
x₂ = -0.7559289

P = {0.7559289; -0.7559289}