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 * (n - 1) = (n + 1) * (n - 1 + 1) / 2 0.5 n^{2} - 1.5 n = 0 a = 0.5; b = - 1.5; c = 0 D = b^{2} - 4 a c = 1 . 5^{2} - 4 \cdot 0.5 \cdot 0 = 2.25 D > 0 n_{1, 2} = \frac{- b \pm D}{2 a} = \frac{1 . 5 \pm 2 . 2 5}{1} n_{1, 2} = 1.5 \pm 1.5 n_{1} = 3 n_{2} = 0 Factored form of the equation: 0.5 (n - 3) n = 0

Solution in text:

0.5n²-1.5n=0 ... c=0; quadratic equation without constant term

Discriminant:
D = b² - 4ac = 2.25
D > 0 ... The equation has two distinct real roots

n₁ = 3
n₂ = 0

P = {3; 0}