Question 428488
ok so what happened here is that the reciprocal means {{{1/n}}}
One number plus sixteen times its reciprocal is equal to ten. 

So the formula should look like.
{{{n+16*(1/n)=10}}}
now multiply every term on both sides by n, the {{{1/n}}} in the {{{16*(1/n)}}} will cancel to become 1, leaving you with 16*1=16
{{{n^2+16=10n}}} subtract 10n from both sides.
{{{n^2-10n+16=0}}} now you have a solvable quadratic equation, that factors into.
{{{(n-8)(n-2)=0}}}
So {{{ n=8 }}} or {{{n=2}}}