document.write( "Question 250425: I wrote the problem incorrectly for the nonlinear system by substitution.\r
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document.write( "x^2+y^2=25
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document.write( "x^2-y=5 \n" );
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Algebra.Com's Answer #182330 by stanbon(75887)![]() ![]() ![]() 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 \n" ); document.write( "--------------------- \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. \n" ); document.write( " \n" ); document.write( " |