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If 125x = 2010 find x

If 125x = 2010 find x
  • A.
    2
  • B.
    3
  • C.
    4
  • D.
    5
Correct Answer: Option B
Explanation

125x = 20
1xX2 + 2xX1 + 5xX0 = 20X2 + 2X + 5 = 20X2 + 2X – 15 = 0
(X + 5)( X – 3) = 0X + 5 implies X = -5X – 3 implies X = 3
But X cannot be negative
X = 3