document.write( "Question 841864: -3 = (37-3n)^1/2 - n \n" ); document.write( "

Algebra.Com's Answer #507317 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"-3+=+%2837-3n%29%5E%281%2F2%29+-+n\"$
\n" ); document.write( " $\"n-3+=+%2837-3n%29%5E%281%2F2%29\"$
\n" ); document.write( " $\"n%5E2-6n%2B9=37-3n\"$
\n" ); document.write( " $\"n%5E2-3n-28=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28n-7%29%28n%2B4%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "Two possible solutions:
\n" ); document.write( " $\"n-7=0\"$
\n" ); document.write( " $\"n=7\"$
\n" ); document.write( "Checking:
\n" ); document.write( " $\"-3=%2837-21%29%5E%281%2F2%29-7\"$
\n" ); document.write( " $\"-3=4-7\"$
\n" ); document.write( " $\"3=-3\"$
\n" ); document.write( "True
\n" ); document.write( "and
\n" ); document.write( " $\"n%2B4=0\"$
\n" ); document.write( " $\"n=-4\"$
\n" ); document.write( "Checking:
\n" ); document.write( " $\"-3=%2837%2B12%29%5E%281%2F2%29-4\"$
\n" ); document.write( " $\"-3=7-4\"$
\n" ); document.write( " $\"-3=3\"$
\n" ); document.write( "False, not a solution.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"n=7\"$ \n" ); document.write( "

\n" );