document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1089671>Question 1089671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This problem was labled in my textbook as a nonlinear equation, but I couldn't find a better spot to put it. \r<BR>\n" );
document.write( "\n" );
document.write( " X^2+y^2=3<BR>\n" );
document.write( "{<BR>\n" );
document.write( " x-y=2\r<BR>\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. <BR>\n" );
document.write( "Could you explain to me where I'm going wrong?\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you!\r<BR>\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! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #704052 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=704052\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "This problem was labled in my textbook as a nonlinear equation, but I couldn't find a better spot to put it. \r<BR>\n" );
document.write( "\n" );
document.write( " X^2+y^2=3<BR>\n" );
document.write( "{<BR>\n" );
document.write( " x-y=2\r<BR>\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. <BR>\n" );
document.write( "Could you explain to me where I'm going wrong?\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you!\r<BR>\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!<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">I DETEST these types of problems that DON'T have INTEGER solutions.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C6%2C+x%5E2+%2B+y%5E2%2C+%22=%22%2C+3%2C+%22----------%22%2C+eq%2C+%22%28i%29%22%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x - y =  2______x = 2 + y ------- eq (ii)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282+%2B+y%29%5E2+%2B+y%5E2+=+3 ALIGN=MIDDLE  ALT=\"%282+%2B+y%29%5E2+%2B+y%5E2+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------- Substituting 2 + y for x in eq (i)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+%2B+4y+%2B+y%5E2+%2B+y%5E2+=+3 ALIGN=MIDDLE  ALT=\"4+%2B+4y+%2B+y%5E2+%2B+y%5E2+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%5E2+%2B+4y+%2B+4+-+3+=+0 ALIGN=MIDDLE  ALT=\"2y%5E2+%2B+4y+%2B+4+-+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%5E2+%2B+4y+%2B+1+=+0 ALIGN=MIDDLE  ALT=\"2y%5E2+%2B+4y+%2B+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Using the quadratic equation formula, or Completing the Square, solve for y.<BR>\n" );
document.write( "You should get 2 different values for y, which are: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28matrix%281%2C3%2C+%22-+0.292893219%2C%22%2C+and%2C+-+1.7071%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28matrix%281%2C3%2C+%22-+0.292893219%2C%22%2C+and%2C+-+1.7071%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute each value for y into any of the 2 ORIGINAL equations (2nd equation is EASIER) to get the 2 corresponding values for x. <BR>\n" );
document.write( "There you have it! All done!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );