document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=967614>Question 967614</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find an equation of a circle passing through the points A(1,2) and B(1,-2) and touching the line x+2y+5=0? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591394 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=591394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start this way:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Understand through intuition, the center of the circle is on the x-axis. and this is some unknown point (x,0).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Distance from (x,0) Center to A(1,2) is equal to distance from (x,0) center to B(1,-2).  Setup this using the distance formula and find the x value for the center point of the circle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now, can you think a way to use the given line touching the circle?<BR>\n" );
document.write( "Equivalent line is<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=-x%2F2-5%2F2 ALIGN=MIDDLE  ALT=\"+y=-x%2F2-5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and is some general point  (x, -(x/2+5/2) );\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Unfinished; just a description to begin solving. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );