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:

2 * 115 = ((h + h / 5) + (1 + h)) * h - 2.2 h^{2} - h + 230 = 0 2.2 h^{2} + h - 230 = 0 a = 2.2; b = 1; c = - 230 D = b^{2} - 4 a c = 1^{2} - 4 \cdot 2.2 \cdot (- 230) = 2025 D > 0 h_{1, 2} = \frac{- b \pm D}{2 a} = \frac{- 1 \pm 2 0 2 5}{4 . 4} h_{1, 2} = - 0.227273 \pm 10.227273 h_{1} = 10 h_{2} = - 10.454545455 Factored form of the equation: 2.2 (h - 10) (h + 10.454545455) = 0

Solution in text:

-2.2h²-h+230=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 2025
D > 0 ... The equation has two distinct real roots

h₁ = 10
h₂ = -10.4545455

P = {10; -10.4545455}