SOLUTION: I need help on this problem: The sum of a number and 5 times its reciprocal is 6. Find the number(s).
This is what I have so far... x + 5(1/x) = 6
x
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-> SOLUTION: I need help on this problem: The sum of a number and 5 times its reciprocal is 6. Find the number(s).
This is what I have so far... x + 5(1/x) = 6
x
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Question 29474: I need help on this problem: The sum of a number and 5 times its reciprocal is 6. Find the number(s).
This is what I have so far... x + 5(1/x) = 6
x + 5/x = 6
Thanks for your help! Found 2 solutions by longjonsilver, Nate:Answer by longjonsilver(2297) (Show Source):
You can put this solution on YOUR website! x + 5/x = 6
x^2 + 5=6x (multiply by x)
x^2 - 6x = 5
(x-3)^2=-5 (solve by completeing the square)
(x-3)^2=4
x-3=+ or - 2
x=3 +or- 2
x=1
or
x=5
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