Quadratic Equation Calculator

A quadratic equation has the basic form:

a x^{2} + b x + c = 0

Enter the coefficients a, b, and c of the quadratic equation in its basic standardized form. The solution of a quadratic equation usually consists of two distinct real or complex roots, or one double root — calculated using the discriminant.

Calculation:

x^{2} - 925 x + 22500 = 0 x^{2} - 925 x + 22500 = 0 a = 1; b = - 925; c = 22500 D = b^{2} - 4 a c = 92 5^{2} - 4 \cdot 1 \cdot 22500 = 765625 D > 0 x_{1, 2} = \frac{- b \pm D}{2 a} = \frac{9 2 5 \pm 7 6 5 6 2 5}{2} x_{1, 2} = \frac{9 2 5 \pm 8 7 5}{2} x_{1, 2} = 462.5 \pm 437.5 x_{1} = 900 x_{2} = 25 Factored form of the equation: (x - 900) (x - 25) = 0

Solution in text:

x²-925x+22500=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 765625
D > 0 ... The equation has two distinct real roots

x₁ = 900
x₂ = 25

P = {900; 25}