Solve (x-1)(x^2)/-1-x

Evaluate

(x - 1) \times \frac{x ^{2}}{- 1} - x

To find the roots of the expression,set the expression equal to 0

(x - 1) \times \frac{x ^{2}}{- 1} - x = 0

Divide the terms

(x - 1) (- x^{2}) - x = 0

Multiply the terms

- x^{2} (x - 1) - x = 0

Calculate

More Steps

- x^{3} + x^{2} - x = 0

Factor the expression

- x (x^{2} - x + 1) = 0

Separate the equation into 2 possible cases

- x = 0 x^{2} - x + 1 = 0

Change the signs on both sides of the equation

x = 0 x^{2} - x + 1 = 0

Solve the equation

More Steps

x = 0 x = \frac{1}{2} + \frac{3}{2} i x = \frac{1}{2} - \frac{3}{2} i

Solution

x_{1} = \frac{1}{2} - \frac{3}{2} i, x_{2} = \frac{1}{2} + \frac{3}{2} i, x_{3} = 0

Alternative Form

x_{1} \approx 0.5 - 0.866025 i, x_{2} \approx 0.5 + 0.866025 i, x_{3} = 0

Simplify the expression