document.write( "Question 897834: solve the given two equation and find the value of m and n
\n" ); document.write( "m+n^2=7 and m^2+n=11 \n" ); document.write( "

Algebra.Com's Answer #544341 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
This is the intersection of two parabolas.
\n" ); document.write( "There are four solutions but only one of them is an integer solution.
\n" ); document.write( " $\"m%2Bn%5E2=7\"$
\n" ); document.write( " $\"+m%5E2%2Bn=11\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"m=7-n%5E2\"$
\n" ); document.write( " $\"m%5E2=49-14n%5E2%2Bn%5E4\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"n%5E4-14n%5E2%2B49%2Bn=11\"$
\n" ); document.write( " $\"n%5E4-14n%5E2%2Bn%2B38=0\"$
\n" ); document.write( " $\"%28n-2%29%28n%5E3%2B2n%5E2-10n-19%29=0\"$
\n" ); document.write( "One integer solution:
\n" ); document.write( " $\"n-2=0\"$
\n" ); document.write( " $\"n=2\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"m%2B2%5E2=7\"$
\n" ); document.write( " $\"m%2B4=7\"$
\n" ); document.write( " $\"m=3\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "

\n" ); document.write( "

\n" );