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:

n / 2 * (n - 3) = 275 0.5 n^{2} - 1.5 n - 275 = 0 a = 0.5; b = - 1.5; c = - 275 D = b^{2} - 4 a c = 1 . 5^{2} - 4 \cdot 0.5 \cdot (- 275) = 552.25 D > 0 n_{1, 2} = \frac{- b \pm D}{2 a} = \frac{1 . 5 \pm 5 5 2 . 2 5}{1} n_{1, 2} = 1.5 \pm 23.5 n_{1} = 25 n_{2} = - 22 Factored form of the equation: 0.5 (n - 25) (n + 22) = 0

Solution in text:

0.5n²-1.5n-275=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 552.25
D > 0 ... The equation has two distinct real roots

n₁ = 25
n₂ = -22

P = {25; -22}