Solve for x in the equation x(^3) – 5x(^2) – x + 5 = 0
-
A.
1, – 1, or 5 -
B.
1, 1, or -5 -
C.
-1, 1, or -5 -
D.
1, 1, or 5
Correct Answer: Option A
Explanation
x(^3) – 5x(^2) – x + 5 = 0.
(x^{2}(x – 5) – 1(x – 5) = 0)
((x^2 – 1)(x – 5) = 0 implies (x – 1)(x + 1)(x – 5) = 0)
(therefore x = 1, -1, 5)