Solve x^3 - x^2 -4x^4

Evaluate

x^{3} - x^{2} - 4 x^{4}

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

x^{3} - x^{2} - 4 x^{4} = 0

Factor the expression

x^{2} (x - 1 - 4 x^{2}) = 0

Separate the equation into 2 possible cases

x^{2} = 0 x - 1 - 4 x^{2} = 0

The only way a power can be 0 is when the base equals 0

x = 0 x - 1 - 4 x^{2} = 0

Solve the equation

More Steps

x = 0 x = \frac{1}{8} + \frac{15}{8} i x = \frac{1}{8} - \frac{15}{8} i

Solution

x_{1} = \frac{1}{8} - \frac{15}{8} i, x_{2} = \frac{1}{8} + \frac{15}{8} i, x_{3} = 0

Alternative Form

x_{1} \approx 0.125 - 0.484123 i, x_{2} \approx 0.125 + 0.484123 i, x_{3} = 0

Factor the expression