document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=7773>Question 7773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F2%29%2By=7 ALIGN=MIDDLE  ALT=\"x%5E%281%2F2%29%2By=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%5E%281%2F2%29=11 ALIGN=MIDDLE  ALT=\"x%2By%5E%281%2F2%29=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "solve this equations for x and y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #4279 by </B><A HREF=/tutors/aboutme.mpl?userid=khwang><B>khwang(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=khwang><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=4279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  To solve:<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F2%29%2By=7 ALIGN=MIDDLE  ALT=\"x%5E%281%2F2%29%2By=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...(1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%5E%281%2F2%29=11 ALIGN=MIDDLE  ALT=\"x%2By%5E%281%2F2%29=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...(2)\r<BR>\n" );
document.write( "\n" );
document.write( " From(1): x^(1/2) = 7 - y ,<BR>\n" );
document.write( " Squaring both sides:<BR>\n" );
document.write( "  x = (7-y)^2 = y^2 - 14y + 49,<BR>\n" );
document.write( " Goto (2): y^2 - 14y + 49 + y^(1/2) = 11,<BR>\n" );
document.write( " Let w = y^1/2, so  y = w^2, <BR>\n" );
document.write( " so we have w^4 - 14 w^2  + w + 38 = 0,<BR>\n" );
document.write( " Use syntheic division,we have<BR>\n" );
document.write( "  1 + 0-14 + 1 + 38 (2<BR>\n" );
document.write( "    + 2 +4 -20 -38<BR>\n" );
document.write( " ----------------------<BR>\n" );
document.write( "  1 + 2 -10 -19 + 0\r<BR>\n" );
document.write( "\n" );
document.write( " Hence,(w-2)(w^3 + 2w^2-10w -19) = 0.<BR>\n" );
document.write( " Unfortunately, we cannot factor w^3 + 2w^2-10w -19,<BR>\n" );
document.write( " and the three roots are in very bad form.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Note,when w =2, y= 4 and x =  16 - 56 + 49 = 9<BR>\n" );
document.write( " So, here I only give you one set of solution <BR>\n" );
document.write( " x= 9 and y = 4.\r<BR>\n" );
document.write( "\n" );
document.write( "  Kenny </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );