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:

a (25 - a) / 25 = 4 - 0.04 a^{2} + a - 4 = 0 0.04 a^{2} - a + 4 = 0 p = 0.04; q = - 1; r = 4 D = q^{2} - 4 p r = 1^{2} - 4 \cdot 0.04 \cdot 4 = 0.36 D > 0 a_{1, 2} = \frac{- q \pm D}{2 p} = \frac{1 \pm 0 . 3 6}{0 . 0 8} a_{1, 2} = 12.5 \pm 7.5 a_{1} = 20 a_{2} = 5 Factored form of the equation: 0.04 (a - 20) (a - 5) = 0

Solution in text:

-0.04a²+a-4=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 0.36
D > 0 ... The equation has two distinct real roots

a₁ = 20
a₂ = 5

P = {20; 5}