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:

4 * c = 4 * (c - 0.4) + 5 * c * (c - 0.4) - 5 c^{2} + 2 c + 1.6 = 0 5 c^{2} - 2 c - 1.6 = 0 p = 5; q = - 2; r = - 1.6 D = q^{2} - 4 p r = 2^{2} - 4 \cdot 5 \cdot (- 1.6) = 36 D > 0 c_{1, 2} = \frac{- q \pm D}{2 p} = \frac{2 \pm 3 6}{1 0} c_{1, 2} = \frac{2 \pm 6}{1 0} c_{1, 2} = 0.2 \pm 0.6 c_{1} = 0.8 c_{2} = - 0.4 Factored form of the equation: 5 (c - 0.8) (c + 0.4) = 0

Solution in text:

-5c²+2c+1.6=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 36
D > 0 ... The equation has two distinct real roots

c₁ = 0.8
c₂ = -0.4

P = {0.8; -0.4}