SOLUTION: the sum of a number and 5 times its reciprocal is 6. find the number(s)

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Question 14241: the sum of a number and 5 times its reciprocal is 6. find the number(s)
Answer by rahman(247) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose: x is the number
Math model:
x+%2B5%2A%281%2Fx%29=6 ------>multiply with x
x%2Ax+%2Bx%2A5%2A%281%2Fx%29=6%2Ax
x%5E2+%2B5=6x
x%5E2-6x%2B5=0
%28x-5%29%28x-1%29=0
x-5=0orx-1=0
x=5 or x=1
The number are 5 or 1.