document.write( "Question 1180470: One solution to the system of equations : y= mx^2 +nx +n and y= nx^2 -mx +n is (-2,11) . Algebraically determine the values of m and n.
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Algebra.Com's Answer #810139 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
One solution to the system of equations : \r
\n" ); document.write( "\n" ); document.write( "\"y=+mx%5E2+%2Bnx+%2Bn+\"
\n" ); document.write( "\"y=+nx%5E2+-mx+%2Bn+\"\r
\n" ); document.write( "\n" ); document.write( "(\"-2\",\"11\") \r
\n" ); document.write( "\n" ); document.write( "\"11=+m%28-2%29%5E2+%2B%28-2%29_n+%2Bn+\"
\n" ); document.write( "\"11=+n%28-2%29%5E2+-%28-2%29m+%2Bn+\"
\n" ); document.write( "----------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "\"11=+4m+-2n+%2Bn+\"
\n" ); document.write( "\"11=+4n+%2B2m+%2Bn+\"\r
\n" ); document.write( "\n" ); document.write( "=>\"+4m-2n+%2Bn=++4n+%2B2m+%2Bn+\"
\n" ); document.write( "\"+4m-2n+=++4n+%2B2m++\"
\n" ); document.write( "\"+2m-n+=++2n+%2Bm++\"
\n" ); document.write( "\"+2m-n+-2n+-m=0++\"
\n" ); document.write( "\"+m+-3n+=0++\"
\n" ); document.write( "\"+m+=3n+++\"\r
\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( "\"11=+4m+-2n+%2Bn+\", substitute \"m\"\r
\n" ); document.write( "\n" ); document.write( "\"11=+4%2A3n+-2n+%2Bn+\"
\n" ); document.write( "\"11=+12n+-2n+%2Bn+\"
\n" ); document.write( "\"11=+11n+\"
\n" ); document.write( "\"n=1\"\r
\n" ); document.write( "\n" ); document.write( "=>\"+m+=3%2A1+++\"=>\"+m+=3+++\"\r
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"y=+3x%5E2+%2Bx+%2B1+\"
\n" ); document.write( "\"y=+x%5E2+-3x+%2B1+\"\r
\n" ); document.write( "\n" ); document.write( "\r
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