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:

19 * (x - 5) + 19 * x = (x - 5) * x - x^{2} + 43 x - 95 = 0 x^{2} - 43 x + 95 = 0 a = 1; b = - 43; c = 95 D = b^{2} - 4 a c = 4 3^{2} - 4 \cdot 1 \cdot 95 = 1469 D > 0 x_{1, 2} = \frac{- b \pm D}{2 a} = \frac{4 3 \pm 1 4 6 9}{2} x_{1, 2} = 21.5 \pm 19.163768 x_{1} = 40.663767897 x_{2} = 2.336232103 Factored form of the equation: (x - 40.663767897) (x - 2.336232103) = 0

Solution in text:

-x²+43x-95=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 1469
D > 0 ... The equation has two distinct real roots

x₁ = 40.6637679
x₂ = 2.3362321

P = {40.6637679; 2.3362321}