Answer:
x = −2 or x = 4.23606797749979 or x = −0.2360679774997898
Explanation:
Subtract x^3-2x^2-9x-2 from both sides.
0 − (x3−2x2−9x−2) = x3−2x2−9x−2 − (x3−2x2−9x−2)
−x3+2x2+9x+2=0
Factor left side of equation.
(−x−2)(x2−4x−1)=0
Set factors equal to 0.
−x−2=0 or x2−4x−1=0