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:

2 * 170 = n * (4.8 + (4.8 + (n - 1) * 0.4)) - 0.39999999999998 n^{2} - 9.2 n + 340 = 0 0.39999999999998 n^{2} + 9.2 n - 340 = 0 a = 0.4; b = 9.2; c = - 340 D = b^{2} - 4 a c = 9 . 2^{2} - 4 \cdot 0.4 \cdot (- 340) = 628.64 D > 0 n_{1, 2} = \frac{- b \pm D}{2 a} = \frac{- 9 . 2 \pm 6 2 8 . 6 4}{0 . 8} n_{1, 2} = - 11.5 \pm 31.340868 n_{1} = 19.840867888 n_{2} = - 42.840867888 Factored form of the equation: 0.39999999999998 (n - 19.840867888) (n + 42.840867888) = 0

Solution in text:

-0.39999999999998n²-9.2n+340=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 628.64
D > 0 ... The equation has two distinct real roots

n₁ = 19.8408679
n₂ = -42.8408679

P = {19.8408679; -42.8408679}