document.write( "Question 994118: if 3x^2 - y^2 = 4 and xy = 2 find x and y \n" ); document.write( "
Algebra.Com's Answer #613329 by josgarithmetic(39627)\"\" \"About 
You can put this solution on YOUR website!
\"y=2%2Fx\" can be substituted into .....
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\n" ); document.write( "\n" ); document.write( "\"3x%5E2-%282%2Fx%29%5E2=4\"\r
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\n" ); document.write( "\n" ); document.write( "\"3x%5E4-4=4x%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"3x%5E4-4x%5E2-4=0\"\r
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\n" ); document.write( "\n" ); document.write( "That is likely factorable, having discriminant of 64.\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2=%284%2B-+sqrt%2864%29%29%2F%282%2A3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2=%284%2B-+8%29%2F12\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2=-1%2F3\" OR \"x%5E2=1\"\r
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\n" ); document.write( "\n" ); document.write( "If you want Real numbers, then your \"x%5E2=-1%2F3\" is not useful for a solution . You then work with the x^2=1 to find \"x=-1\" or \"x=1\".\r
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\n" ); document.write( "\n" ); document.write( "Finishing in finding y:
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\n" ); document.write( "\"x=-1\"
\n" ); document.write( "\"y=2%2F-1\"
\n" ); document.write( "\"y=-2\"
\n" ); document.write( "and the other result gives \"y=2\" for \"x=1\".\r
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\n" ); document.write( "\n" ); document.write( "SUMMARY:
\n" ); document.write( "(-1,-2) or (1,2).
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