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:

- 3 x^{2} - 2 * 26 * x + 26 * 26 = 0 - 3 x^{2} - 52 x + 676 = 0 3 x^{2} + 52 x - 676 = 0 a = 3; b = 52; c = - 676 D = b^{2} - 4 a c = 5 2^{2} - 4 \cdot 3 \cdot (- 676) = 10816 D > 0 x_{1, 2} = \frac{- b \pm D}{2 a} = \frac{- 5 2 \pm 1 0 8 1 6}{6} x_{1, 2} = \frac{- 5 2 \pm 1 0 4}{6} x_{1, 2} = - 8.666667 \pm 17.333333 x_{1} = 8.666666667 x_{2} = - 26 Factored form of the equation: 3 (x - 8.666666667) (x + 26) = 0

Solution in text:

-3x²-52x+676=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 10816
D > 0 ... The equation has two distinct real roots

x₁ = 8.6666667
x₂ = -26

P = {8.6666667; -26}