passpadi

2008

Mathematics

67ca00ce0c643c71d77dee1f

If 125x = 2010 find x

A.

2

B.

3

C.

4

D.

5

Correct Answer: 3

Explanation

125x = 2010 1 x X2 + 2 x X1 + 5x X0 = 20 X2 + 2X + 5 = 20 X2 + 2X - 15 = 0 (X + 5)( X - 3) = 0 X + 5 implies X = -5 X - 3 implies X = 3 But X cannot be negative ∴X = 3

125x = 2010 1 x X2 + 2 x X1 + 5x X0 = 20 X2 + 2X + 5 = 20 X2 + 2X - 15 = 0 (X + 5)( X - 3) = 0 X + 5 implies X = -5 X - 3 implies X = 3 But X cannot be negative ∴X = 3
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