SOLUTION: The sum of a numer and its reciprocal is 5/2 and solve

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Question 89723This question is from textbook Intermediate Algebra
: The sum of a numer and its reciprocal is 5/2
and solve This question is from textbook Intermediate Algebra

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
x+1/x=5/2
(x^2+1)/x=5/2 now cross multiply
2x^2+2=5x
2x^2-5x+2=0
(2x-1)(x-2)=0
2x-1=0
2x=1
x=1/2 answer.
x-2=0
x=2 answer.