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:

20 * x - 10 * x * (3.3333333333333 - x) = 10 * (3.3333333333333 - x) 10 x^{2} - 3.333 x - 33.333 = 0 a = 10; b = - 3.333; c = - 33.333 D = b^{2} - 4 a c = 3.33 3^{2} - 4 \cdot 10 \cdot (- 33.333) = 1344.4444444444 D > 0 x_{1, 2} = \frac{- b \pm D}{2 a} = \frac{3 . 3 3 \pm 1 3 4 4 . 4 4}{2 0} x_{1, 2} = 0.166667 \pm 1.833333 x_{1} = 2 x_{2} = - 1.666666667 Factored form of the equation: 10 (x - 2) (x + 1.666666667) = 0

Solution in text:

10x²-3.333333333333x-33.333333333333=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 1344.4444444444
D > 0 ... The equation has two distinct real roots

x₁ = 2
x₂ = -1.6666667

P = {2; -1.6666667}