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 * 2304 = n * (2 * 95 - 2 * (n - 1)) 2 n^{2} - 192 n + 4608 = 0 2 . . . prime number 192 = 2^{6} \cdot 3 4608 = 2^{9} \cdot 3^{2} GCD (2, 192, 4608) = 2 = 2 n^{2} - 96 n + 2304 = 0 a = 1; b = - 96; c = 2304 D = b^{2} - 4 a c = 9 6^{2} - 4 \cdot 1 \cdot 2304 = 0 D = 0 n_{1, 2} = \frac{- b \pm D}{2 a} = \frac{9 6 \pm 0}{2} = 48 \pm n_{1, 2} = 48 \pm 0 n_{1} = n_{2} = 48 Factored form of the equation: (n - 48) (n - 48) = 0

Solution in text:

2n²-192n+4608=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 0
D=0 ... The equation has one double real root

n₁ = 48
n₂ = 48

P = {48}