document.write( "Question 1048631: Solve the system and graph the curves:\r
\n" ); document.write( "\n" ); document.write( "e) x^2+y^2 = 2 ;and
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Algebra.Com's Answer #664331 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Solve the system and graph the curves:\r
\n" ); document.write( "\n" ); document.write( "x^2+y^2 = 2 ;and
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document.write( "\"x%5E2%2By%5E2\" = 2,     (1)\r\n" );
document.write( "x-y = 4          (2)\r\n" );
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document.write( "Express x = 4 + y from (2) and substitute it into (1). You will get\r\n" );
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document.write( "\"%284+%2By%29%5E2+%2B+y%5E2\" = 2,  or\r\n" );
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document.write( "\"16+%2B+8y+%2B+y%5E2+%2B+y%5E2\" = 2,  or\r\n" );
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document.write( "\"2y%5E2+%2B+8y+%2B+14\" = 0,  or\r\n" );
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document.write( "\"y%5E2+%2B+4y+%2B+7\" = 0.\r\n" );
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document.write( "Apply the quadratic formula. You will get\r\n" );
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document.write( "\"y%5B1%2C2%5D\" = \"%28-4+%2B-+sqrt%28%28-4%29%5E2+-+4%2A7%29%29%2F2\" = \"%28-4+%2B-+sqrt%28-12%29%29%2F2\".\r\n" );
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document.write( "There are no real solutions.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Plots y = \"sqrt%282-x%5E2%29\", y = \"-sqrt%282-x%5E2%29\" (red+green) and y = x-4 (blue).\r
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