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:

(x - 1) + (x - 2) (x - 3) / 2 = 4 0.5 x^{2} - 1.5 x - 2 = 0 a = 0.5; b = - 1.5; c = - 2 D = b^{2} - 4 a c = 1 . 5^{2} - 4 \cdot 0.5 \cdot (- 2) = 6.25 D > 0 x_{1, 2} = \frac{- b \pm D}{2 a} = \frac{1 . 5 \pm 6 . 2 5}{1} x_{1, 2} = 1.5 \pm 2.5 x_{1} = 4 x_{2} = - 1 Factored form of the equation: 0.5 (x - 4) (x + 1) = 0

Solution in text:

0.5x²-1.5x-2=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 6.25
D > 0 ... The equation has two distinct real roots

x₁ = 4
x₂ = -1

P = {4; -1}