document.write( "Question 435357: Solve each system\r
\n" ); document.write( "\n" ); document.write( "2x^2-xy+y^2=8
\n" ); document.write( "xy=4 \n" ); document.write( "

Algebra.Com's Answer #301332 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2x%5E2-xy%2By%5E2=8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"xy=4\"$ ....=>... $\"x=4%2Fy\"$ .substitute in $\"2x%5E2-xy%2By%5E2=8\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"2%284%2Fy%29%5E2-%284%2Fy%29y%2By%5E2=8\"$ ....solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2%2816%2Fy%5E2%29-%284y%2Fy%29%2By%5E2=8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2%2816%2Fy%5E2%29-%284cross%28y%29%2Fcross%28y%29%29%2By%5E2=8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2%2816%2Fy%5E2%29-4%2By%5E2=8\"$ ...both sides divide by $\"2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2%2816%2Fy%5E2%29%2F2-4%2F2%2By%5E2%2F2=8%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"16%2Fy%5E2-+2+%2By%5E2%2F2=4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"16%2Fy%5E2%2By%5E2%2F2=4%2B2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"16%2Fy%5E2%2By%5E2%2F2=6\"$ ...both sides divide by $\"2y%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"16%2A2y%5E2%2Fy%5E2%2B+y%5E2%2A2y%5E2%2F2=6%2A2y%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"32cross%28y%5E2%29%2Fcross%28y%5E2%29%2B+y%5E2%2Across%282%29y%5E2%2Fcross%282%29=+12y%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"32+%2B+y%5E4=+12y%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y%5E4+-12y%5E2%2B32=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y%5E4+-4y%5E2-8y%5E2%2B32=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28y%5E4+-4y%5E2%29-+%288y%5E2-32%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y%5E2%28y%5E2+-4%29-+8%28y%5E2-4%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28y%5E2-+8%29%28y%5E2-4%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "if
\n" ); document.write( " $\"y%5E2-+8=0\"$ ...=>\r
\n" ); document.write( "\n" ); document.write( " $\"y%5E2=+8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y\"$ =+- $\"sqrt%288%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=2.8\"$ , or $\"y=+-2.8\"$ \r
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\n" ); document.write( "\n" ); document.write( "now find $\"x\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x=4%2F2.8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=1.43\"$ , or $\"x=+-1.43\"$ \r
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\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( " $\"xy=4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"1.43%2A2.8=4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4.004=4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4=4\"$ \r
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