document.write( "Question 1101022: Solve the system:
\n" ); document.write( "{ x^2 + y^2 = 50
\n" ); document.write( "{ 2x^2 - 3xy + 3y^2 = 50 \n" ); document.write( "
Algebra.Com's Answer #715586 by Alan3354(69443)\"\" \"About 
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{ x^2 + y^2 = 50
\n" ); document.write( "{ 2x^2 - 3xy + 3y^2 = 50
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\n" ); document.write( "y^2 = 50-x^2
\n" ); document.write( "y = sqrt(50-x^2)
\n" ); document.write( "Sub for y & y^2
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\n" ); document.write( "2x^2 + 3(50-x^2) - 3x*sqrt(50-x^2) = 50
\n" ); document.write( "2x^2 + 150 - 3x^2 - 3x*sqrt(50-x^2) = 50
\n" ); document.write( "x^2 + 3x*sqrt(50-x^2) = 100
\n" ); document.write( "x^2 - 100 = 3x*sqrt(50-x^2)
\n" ); document.write( "x^4 - 200x^2 + 10000 = 450x^2 - 9x^4
\n" ); document.write( "10x^4 - 650x^2 + 10000 = 0
\n" ); document.write( "x^4 - 65x^2 + 1000 = 0
\n" ); document.write( "(x^2 - 25)*(x^2 - 40) = 0
\n" ); document.write( "x = +/-5 --> y = +/-5
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\n" ); document.write( "x = +/-2sqrt(10) --> y = +/-sqrt(10)
\n" ); document.write( "Check for extraneous solutions.\r
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