Quadratic Equation Calculator

A quadratic equation has the basic form:

a x^{2} + b x + c = 0

Enter the coefficients a, b, and c of the quadratic equation in its basic standardized form. The solution of a quadratic equation usually consists of two distinct real or complex roots, or one double root — calculated using the discriminant.

Calculation:

9 * (1 - x) * (1 + x) = 5 - 9 x^{2} + 4 = 0 9 x^{2} - 4 = 0 x_{1, 2} = \pm 4 / 9 = \pm 0.666666667 x_{1} = 0.666666667 x_{2} = - 0.666666667

Solution in text:

-9x²+4=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 144
D > 0 ... The equation has two distinct real roots

x₁ = 0.6666667
x₂ = -0.6666667

P = {0.6666667; -0.6666667}