document.write( "Question 250436: Solve nonlinear system by substitution.\r
\n" ); document.write( "\n" ); document.write( "x^2+y^2=25
\n" ); document.write( "x^2-y=5 \n" ); document.write( "
Algebra.Com's Answer #182412 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "1.\"x%5E2%2By%5E2=25\"
\n" ); document.write( "2.\"x%5E2-y=5\"
\n" ); document.write( "This solves the intersection of a parabola and a circle.
\n" ); document.write( "From 2,
\n" ); document.write( "\"x%5E2=y%2B5\"
\n" ); document.write( "Subsitute into 1.
\n" ); document.write( "\"x%5E2%2By%5E2=25\"
\n" ); document.write( "\"%28y%2B5%29%2By%5E2=25\"
\n" ); document.write( "\"y%5E2%2By-20=0\"
\n" ); document.write( "\"%28y%2B5%29%28y-4%29=0\"
\n" ); document.write( "Two solutions:
\n" ); document.write( "y+5=0
\n" ); document.write( "y=-5
\n" ); document.write( "Then
\n" ); document.write( "\"x%5E2=y%2B5\"
\n" ); document.write( "\"x%5E2=5%2B5=0\"
\n" ); document.write( "\"x=0\"
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\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"y-4=0\"
\n" ); document.write( "\"y=4\"
\n" ); document.write( "Then
\n" ); document.write( "\"x%5E2=y%2B5\"
\n" ); document.write( "\"x%5E2=4%2B5=9\"
\n" ); document.write( "\"x=3\" and \"x=-3\"
\n" ); document.write( "The intersection points are then
\n" ); document.write( "(3,4), (-3,4), and (0,-5)\r
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