Solve (h^2 h 1)(h^2-h-1)

Evaluate

(h^{2} \times h \times 1) (h^{2} - h - 1)

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

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

Multiply the terms

More Steps

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

Separate the equation into 2 possible cases

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

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

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

Solve the equation

More Steps

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

Solution

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

Alternative Form

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

Simplify the expression