document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=387632>Question 387632</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a pair of numbers (x,y) so that expression x^2 + y^2 - 2x gives as small a value as possible. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #274119 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=274119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+y%5E2+-+2x+=+x%5E2+%2B+y%5E2+-+2x+%2B+1+-+1+=+%28x+-+1%29%5E2+%2B+y%5E2+-+1 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+y%5E2+-+2x+=+x%5E2+%2B+y%5E2+-+2x+%2B+1+-+1+=+%28x+-+1%29%5E2+%2B+y%5E2+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Now <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+1%29%5E2+%2B+y%5E2 ALIGN=MIDDLE  ALT=\"%28x+-+1%29%5E2+%2B+y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is smallest when x = 1 and y = 0 (where the value of the expression is -1).  (1,0) is the ordered pair. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );