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:

x^{2} + 8 / 12 * x - 1 = 0 x^{2} + 0.667 x - 1 = 0 a = 1; b = 0.667; c = - 1 D = b^{2} - 4 a c = 0.66 7^{2} - 4 \cdot 1 \cdot (- 1) = 4.4444444444 D > 0 x_{1, 2} = \frac{- b \pm D}{2 a} = \frac{- 0 . 6 7 \pm 4 . 4 4}{2} x_{1, 2} = - 0.333333 \pm 1.054093 x_{1} = 0.72075922 x_{2} = - 1.387425887 Factored form of the equation: (x - 0.72075922) (x + 1.387425887) = 0

Solution in text:

x²+0.66666666666667x-1=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 4.4444444444
D > 0 ... The equation has two distinct real roots

x₁ = 0.7207592
x₂ = -1.3874259

P = {0.7207592; -1.3874259}