Solve l^3-l^4-l^5

Evaluate

l^{3} - l^{4} - l^{5}

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

l^{3} - l^{4} - l^{5} = 0

Factor the expression

l^{3} (1 - l - l^{2}) = 0

Separate the equation into 2 possible cases

l^{3} = 0 1 - l - l^{2} = 0

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

l = 0 1 - l - l^{2} = 0

Solve the equation

More Steps

l = 0 l = \frac{- 1 + 5}{2} l = - \frac{1 + 5}{2}

Solution

l_{1} = - \frac{1 + 5}{2}, l_{2} = 0, l_{3} = \frac{- 1 + 5}{2}

Alternative Form

l_{1} \approx - 1.618034, l_{2} = 0, l_{3} \approx 0.618034

Factor the expression