document.write( "Question 136258: $\"+1%2F+%282n%5E2%29+\"$ + $\"+5+%2F+2n+\"$ = $\"+%28n-2%29+%2F+n%5E2+\"$ \n" ); document.write( "

Algebra.Com's Answer #99872 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+1%2F+%282n%5E2%29+\"$ + $\"+5+%2F+2n+\"$ = $\"+%28n-2%29+%2F+n%5E2+\"$
\n" ); document.write( ":
\n" ); document.write( "Multiply equation 2n^2 to get rid of the denominators
\n" ); document.write( "2n^2* $\"1%2F%282n%5E2%29+\"$ + 2n^2* $\"+5+%2F%282n%29\"$ = 2n^2 $\"%28%28n-2%29%29%2Fn%5E2\"$
\n" ); document.write( "cancel out the denominators and you have:
\n" ); document.write( "1 + 5n = 2(n-2)
\n" ); document.write( "1 + 5n = 2n - 4
\n" ); document.write( ":
\n" ); document.write( "5n - 2n = -4 - 1
\n" ); document.write( "3n = -5
\n" ); document.write( "n = $\"-5%2F3\"$
\n" ); document.write( ":
\n" ); document.write( "Check solution in original equation using decimals; -5/3 = -1.67:
\n" ); document.write( " $\"+1%2F+%282%28-1.67%29%5E2%29+\"$ + $\"+5+%2F+2%28-1.67%29+\"$ = $\"+%28%28-1.67%29-2%29+%2F+%28-1.67%29%5E2+\"$
\n" ); document.write( " $\"+1%2F5.56\"$ + $\"+5%2F%28-3.34%29\"$ = $\"+%28-3.67%29+%2F+2.8+\"$
\n" ); document.write( ".18 - 1.50 = -1.31; close enough to confirm our solution \n" ); document.write( "

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