SOLUTION: a number is added to its reciprocal the sum is 25/12. find the number (show your solution)

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Question 388410: a number is added to its reciprocal the sum is 25/12. find the number (show your solution)
Answer by mananth(16946) About Me  (Show Source):
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a number is added to its reciprocal the sum is 25/12. find the number (show your solution)
number =x
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x%2B1%2Fx+=+25%2F12
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%28x%5E2%2B1%29%2Fx=25%2F12
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cross multiply
12(x^2+1)=25x
12x^2+12=25x
12x^2-25x+12=0
12x^2-16x-9x+12=0
4x(3x-4)-3(3x-4)=0
(3x-4)(4x-3)=0
x=4/3 OR 3/4
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m.ananth@hotmail.ca