In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
x³ - 5x² + 36x - 180
Zeros of the function = ?
Step 02:
Zeros of the function
x³ - 5x² + 36x - 180 = 0
(x - 5) (x² + 36) = 0
x - 5 = 0
x² + 36 = 0
x - 5 = 0
x = 5
x² + 36 = 0
x = √-36
x = 6i
x = -6i
The answer is:
x1 = 5
x2 = 6i
x3 = -6i