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Question 1041511: What positive number exceeds 3 times its reciprocal by 2
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! x > 0,
:
x = 3 * (1/x) + 2
:
x = (3/x) + 2
multiply both sides of = by x
:
x^2 = 3 + 2x
:
x^2 -2x -3 = 0
:
(x-3) * (x+1) = 0
:
x = 3 or x = -1
:
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we reject x = -1, therefore
x = 3
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check our answer
:
3 = 3/3 + 2
3 = 3
our answer checks
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