document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156275>Question 1156275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let (x,y) be an ordered pair of real numbers that satisfies the equation <BR>\n" );
document.write( "x^2+y^2=14x+48y. What is the minimum value of x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #778967 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=778967\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rewrite as x^2-14x+y^2-48y=0<BR>\n" );
document.write( "complete the squares for each<BR>\n" );
document.write( "x^2-14x+49+y^2-48y+576=625, adding 625 to the right<BR>\n" );
document.write( "(x-7)^2+(y-24)^2=25^2<BR>\n" );
document.write( "This is a circle with center (7, 24) and radius 25<BR>\n" );
document.write( "the minimum value of x is (7-25)=-18<BR>\n" );
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