document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1077712>Question 1077712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I'm studying for an evaluation by the Japanesse Government and they provided me old tests to study from. The answer to this particular problem is \"5\" but i dont know how the heck they got that answer without a centre nor a radius stated in the problem. The Problem says:\r<BR>\n" );
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document.write( "\" there exist two circles that go through two points (1,3); (2,4) and are tangent to the y-axis. Letting the radii of the circles be a, b implies that ab=? \"\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #692187 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=692187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The perpendicular bisector of the line segment between the given points will contain the centers of the two circles. That bisector line is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+5+-x ALIGN=MIDDLE  ALT=\"y+=+5+-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The distance from a point on the line (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-x ALIGN=MIDDLE  ALT=\"5-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >) to one of the points will equal the distance from the point on the line to the y-axis.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2+%2B+%28%285-x%29-3%29%5E2+=+x%5E2 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2+%2B+%28%285-x%29-3%29%5E2+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-2x+%2B+1+%2B+25+-+10x+%2B+x%5E2+-+6%285-+x%29+%2B+9+=+x%5E2+ ALIGN=MIDDLE  ALT=\"x%5E2+-2x+%2B+1+%2B+25+-+10x+%2B+x%5E2+-+6%285-+x%29+%2B+9+=+x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >…... expand the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-6x+%2B+5+=+0+ ALIGN=MIDDLE  ALT=\"x%5E2+-6x+%2B+5+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >...… express in standard form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%28x-1%29+=+0 ALIGN=MIDDLE  ALT=\"%28x-5%29%28x-1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > … factor\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = { <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > } = { <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b ALIGN=MIDDLE  ALT=\"+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > }........ … these are the x-coordinates of the circle centers, and also their radii\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ab+=+1%2A5+=+5+ ALIGN=MIDDLE  ALT=\"a%2Ab+=+1%2A5+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "here is image:\r<BR>\n" );
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