SOLUTION: 1. What positive number exceeds 3 times its reciprocal by 2? Show clear solution thanksss!

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Question 1172155: 1. What positive number exceeds 3 times its reciprocal by 2? Show clear solution thanksss!
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
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Direct and literal translation of words to Math is THIS :


    find positive solution to equation  x = 3%2Fx + 2.



To solve it, multiply both sides by x and then simplify step by step

    x^2 = 3 + 2x

    x^2 - 2x - 3 = 0

    (x-3)*(x+1) = 0.


The two roots are  x= 3  and  x= -1; but only positive x= 3 satisfies the problem's condition.


ANSWER.  The number is 3.

Solved.