document.write( "Question 1089671: This problem was labled in my textbook as a nonlinear equation, but I couldn't find a better spot to put it. \r
\n" ); document.write( "\n" ); document.write( " X^2+y^2=3
\n" ); document.write( "{
\n" ); document.write( " x-y=2\r
\n" ); document.write( "\n" ); document.write( "I'm ending up with x= plus or minus sqrt14/2 my textbook has x as plus or minus 1.
\n" ); document.write( "Could you explain to me where I'm going wrong?\r
\n" ); document.write( "\n" ); document.write( "Thank you!\r
\n" ); document.write( "\n" ); document.write( "p.s. I wasn't quite sure how to notate the fact that the two equations went together so I just did the little brackets between them. I'm not a math person, so if you could be very clear and explicit that would be much appreciated. Thanks again!
\n" ); document.write( "

Algebra.Com's Answer #704010 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Neither of those answers is correct.
\n" ); document.write( "From eq. 2,
\n" ); document.write( "\"x=y%2B2\"
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( "\"%28y%2B2%29%5E2%2By%5E2=3\"
\n" ); document.write( "\"y%5E2%2B4y%2B4%2By%5E2=3\"
\n" ); document.write( "\"2y%5E2%2B4y%2B1=0\"
\n" ); document.write( "\"y%5E2%2B2y%2B1%2F2=0\"
\n" ); document.write( "Complete the square,
\n" ); document.write( "\"%28y%5E2%2B2y%2B1%29%2B1%2F2=1\"
\n" ); document.write( "\"%28y%2B1%29%5E2=1%2F2\"
\n" ); document.write( "\"y%2B1=0+%2B-+sqrt%281%2F2%29\"
\n" ); document.write( "\"y=-1+%2B-+sqrt%282%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "Then use eq. 2 to solve for x.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "
\n" ); document.write( "
\n" );