SOLUTION: One number plus sixteen times its reciprocal is equal to ten. I tried n+16n=10

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Question 428488: One number plus sixteen times its reciprocal is equal to ten.
I tried n+16n=10
Answer by eggsarecool(46) About Me  (Show Source):
You can put this solution on YOUR website!
ok so what happened here is that the reciprocal means 1%2Fn
One number plus sixteen times its reciprocal is equal to ten.
So the formula should look like.
n%2B16%2A%281%2Fn%29=10
now multiply every term on both sides by n, the 1%2Fn in the 16%2A%281%2Fn%29 will cancel to become 1, leaving you with 16*1=16
n%5E2%2B16=10n subtract 10n from both sides.
n%5E2-10n%2B16=0 now you have a solvable quadratic equation, that factors into.
%28n-8%29%28n-2%29=0
So +n=8+ or n=2