document.write( "Question 366632: if n>0 and 9x^2+kx+36=(3x+n)^2 for all x, what is k-n? \n" ); document.write( "

Algebra.Com's Answer #261354 by Fombitz(32388) $\"\"$ $\"About$

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\n" ); document.write( " $\"+9x%5E2%2Bkx%2B36=%283x%2Bn%29%5E2+\"$
\n" ); document.write( " $\"+9x%5E2%2Bkx%2B36=9x%5E2%2B6nx%2Bn%5E2\"$
\n" ); document.write( "Compare terms,
\n" ); document.write( " $\"n%5E2=36\"$
\n" ); document.write( " $\"n=0+%2B-+6\"$
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\n" ); document.write( ".
\n" ); document.write( " $\"kx=6nx\"$
\n" ); document.write( " $\"k=6n\"$
\n" ); document.write( " $\"k-n=6n-n\"$
\n" ); document.write( " $\"k-n=5n\"$
\n" ); document.write( " $\"highlight%28k-n=0+%2B-+30%29\"$
\n" ); document.write( " \n" ); document.write( "

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