Answer:
x= -1 , i(sqrt11) , -i(sqrt11)
Step-by-step explanation:
subtract 11x from both sides
-x^3 - x^2 - 11x = 11
subtract 11 from both sides
-x^3 - x^2 - 11x - 11 = 0
Factor the left side of the equation
- (x - 1)(x^2 + 11) = 0
Set both factors to zero and solve for x
x + 1 = 0 x^2 + 11 = 0
-1 -11
x^2 = -11
x = -1 x = +/- i(sqrt11)