document.write( "Question 250425: I wrote the problem incorrectly for the 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 #182330 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
I wrote the problem incorrectly for the nonlinear system by substitution.
\n" ); document.write( "x^2+y^2=25
\n" ); document.write( "x^2-y=5
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\n" ); document.write( "Solve for x^2:
\n" ); document.write( "x^2 = y+5
\n" ); document.write( "---------------------
\n" ); document.write( "Substitute for x^2 and solve for \"y\":
\n" ); document.write( "y+5 + y^2 = 25
\n" ); document.write( "y^2 + y - 20 = 0
\n" ); document.write( "(y+5)(y-4) = 0
\n" ); document.write( "y = -5 or y = 4
\n" ); document.write( "--------------------
\n" ); document.write( "Find the corresponding values of \"x\":
\n" ); document.write( "If y = -5,
\n" ); document.write( "x^2 = -5+5
\n" ); document.write( "x^2 = 0
\n" ); document.write( "x = 0
\n" ); document.write( "(0,-5)
\n" ); document.write( "---------
\n" ); document.write( "If y = 4
\n" ); document.write( "x^2 = 4+5
\n" ); document.write( "x = 3 or -3
\n" ); document.write( "(3,4)(-3,4)
\n" ); document.write( "---------------------
\n" ); document.write( "The parabola intersects the circle at three points: (3,4),(-3,4),(0,-5)
\n" ); document.write( "---------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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