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:

x^{2} + (- 6 / 7 (x + 1))^{2} + 6 x - 10 (- 6 / 7 (x + 1)) + 9 = 0 1.734693877551 x^{2} + 16.041 x + 18.306 = 0 a = 1.734694; b = 16.041; c = 18.306 D = b^{2} - 4 a c = 16.04 1^{2} - 4 \cdot 1.734694 \cdot 18.306 = 130.2857142857 D > 0 x_{1, 2} = \frac{- b \pm D}{2 a} = \frac{- 1 6 . 0 4 \pm 1 3 0 . 2 9}{3 . 4 6 9 3 8 8} x_{1, 2} = - 4.623529 \pm 3.289997 x_{1} = - 1.333531989 x_{2} = - 7.913526835 Factored form of the equation: 1.734693877551 (x + 1.333531989) (x + 7.913526835) = 0

Solution in text:

1.734693877551x²+16.040816326531x+18.30612244898=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 130.2857142857
D > 0 ... The equation has two distinct real roots

x₁ = -1.333532
x₂ = -7.9135268

P = {-1.333532; -7.9135268}