2002
Mathematics
67ca00ce0c643c71d77dee1f
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 ,5THIS WEEK's
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