document.write( "Question 1182047: Solve the following equation. Nonlinear equations
\n" ); document.write( "1. {x + y = 3
\n" ); document.write( " {x² + y² = 2
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Algebra.Com's Answer #812008 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\"x+%2B+y+=+3\"....eq.1
\n" ); document.write( "\"x%5E2+%2B+y%5E2+=+2\".....eq.2
\n" ); document.write( "-----------------------------------\r
\n" ); document.write( "\n" ); document.write( "\"x+%2B+y+=+3\"....eq.1, solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+3-y\"....eq.1a\r
\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B+y%5E2+=+2\".....eq.2, substitute \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"%283-y%29%5E2+%2B+y%5E2+=+2\".........solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"9-6y%2By%5E2+%2B+y%5E2+=+2\"\r
\n" ); document.write( "\n" ); document.write( "\"2y%5E2-6y%2B9-2++=0\"\r
\n" ); document.write( "\n" ); document.write( "\"2y%5E2-6y%2B7++=0\"\r
\n" ); document.write( "\n" ); document.write( "\"2y%5E2-6y%2B7++=0\"\r
\n" ); document.write( "\n" ); document.write( "using quadratic formula we get\r
\n" ); document.write( "\n" ); document.write( "\"y+=+%281%2F2+%29%283+%2B+i+%2Asqrt%285%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"y+=+%281%2F2+%29%283+-+i%2A+sqrt%285%29%29\"\r
\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( "\"x+=+3-y\"....eq.1a, substitute \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+3-%281%2F2+%29%283+%2B+i+%2Asqrt%285%29%29\"=>\"x+=+3%2F2+-+%28i%2Asqrt%285%29%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+3-%281%2F2+%29%283+-+i+%2Asqrt%285%29%29\"=>\"x+=+3%2F2+%2B+%28i%2Asqrt%285%29%29%2F2\"\r
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