document.write( "Question 1199235: solve the system
\n" ); document.write( "x^2+y^2=100
\n" ); document.write( " y=x^2-3x-10
\n" ); document.write( " y=x+2 \n" ); document.write( "

Algebra.Com's Answer #833010 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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solve the system
\n" ); document.write( "x^2+y^2=100
\n" ); document.write( "y=x^2-3x-10
\n" ); document.write( "y=x+2
\n" ); document.write( ":
\n" ); document.write( "y=y therefore
\n" ); document.write( "x^2 - 3x - 10 = x + 2
\n" ); document.write( "combine on the left
\n" ); document.write( "x^2 - 4x - 12 = 0
\n" ); document.write( "Factors
\n" ); document.write( "(x-6)(x+2) = 0
\n" ); document.write( "x = 6, x = -2
\n" ); document.write( ":
\n" ); document.write( "solve the 1st equation using x=6
\n" ); document.write( "6^2 + y^2 = 100
\n" ); document.write( "y^2 = 100 - 36
\n" ); document.write( "y^2 = 64
\n" ); document.write( "y = 8
\n" ); document.write( ":
\n" ); document.write( "Solve using x=-2
\n" ); document.write( "-2^2 + y^2 = 100
\n" ); document.write( "y^2 = 100 - 4
\n" ); document.write( "y^2 = 96
\n" ); document.write( "y = $\"sqrt%2896%29\"$
\n" ); document.write( "y ~ 7.8
\n" ); document.write( ":
\n" ); document.write( "Valid integer solutions x=6, y=8
\n" ); document.write( ":
\n" ); document.write( "Confirm this in all 3 equations \n" ); document.write( "

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