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:

5 = (x - 1) (x - 2) / 6 - 0.16666666666667 x^{2} + 0.5 x + 4.667 = 0 0.16666666666667 x^{2} - 0.5 x - 4.667 = 0 a = 0.166667; b = - 0.5; c = - 4.667 D = b^{2} - 4 a c = 0 . 5^{2} - 4 \cdot 0.166667 \cdot (- 4.667) = 3.3611111111 D > 0 x_{1, 2} = \frac{- b \pm D}{2 a} = \frac{0 . 5 \pm 3 . 3 6}{0 . 3 3 3 3 3 3} x_{1, 2} = 1.5 \pm 5.5 x_{1} = 7 x_{2} = - 4 Factored form of the equation: 0.16666666666667 (x - 7) (x + 4) = 0

Solution in text:

-0.16666666666667x²+0.5x+4.6666666666667=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 3.3611111111
D > 0 ... The equation has two distinct real roots

x₁ = 7
x₂ = -4

P = {7; -4}