passpadi

2002

Mathematics

JAMB

Solve for x in the equation x3 - 5x2 - 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: 1, - 1, or 5

Explanation

x3 - 5x2 - x + 5 = 0. x2 (x−5)−1(x−5)=0 (x2 −1)(x−5)=0⟹(x−1)(x+1)(x−5 )= 0 ∴ x = 1, −1 ,5

x3 - 5x2 - x + 5 = 0. x2 (x−5)−1(x−5)=0 (x2 −1)(x−5)=0⟹(x−1)(x+1)(x−5 )= 0 ∴ x = 1, −1 ,5
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