Solve x^3 - x^2 + x

Evaluate

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

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

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

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

Factor the expression