document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885250>Question 885250</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Missing coordinate A(-3,2) , B(x,3) , c(4,5) if AB=BC , Find the 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 #534997 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrapro18><B>algebrapro18(249)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrapro18><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=534997\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find x we need to find the distance between A and B and the distance between B and C.  We can then set the two distances equal to each other and solve for x, since AB=BC.<br>\r<BR>\n" );
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document.write( "So finding the distance between A and B we get:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=sqrt%28%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%29 ALIGN=MIDDLE  ALT=\"AB=sqrt%28%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=sqrt%28%28-3-x%29%5E2%2B%282-3%29%5E2%29 ALIGN=MIDDLE  ALT=\"AB=sqrt%28%28-3-x%29%5E2%2B%282-3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=sqrt%28x%5E2%2B6x%2B9%2B%28-1%29%5E2%29 ALIGN=MIDDLE  ALT=\"AB=sqrt%28x%5E2%2B6x%2B9%2B%28-1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=sqrt%28x%5E2%2B6x%2B9%2B1%29 ALIGN=MIDDLE  ALT=\"AB=sqrt%28x%5E2%2B6x%2B9%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=sqrt%28x%5E2%2B6x%2B10%29 ALIGN=MIDDLE  ALT=\"AB=sqrt%28x%5E2%2B6x%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "That's as simplified as that can get.  So now we find the distance between B and C:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC=sqrt%28%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%29 ALIGN=MIDDLE  ALT=\"BC=sqrt%28%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC=sqrt%28%28x-4%29%5E2%2B%283-5%29%5E2%29 ALIGN=MIDDLE  ALT=\"BC=sqrt%28%28x-4%29%5E2%2B%283-5%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC=sqrt%28x%5E2-8x%2B16%2B%28-2%29%5E2%29 ALIGN=MIDDLE  ALT=\"BC=sqrt%28x%5E2-8x%2B16%2B%28-2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC=sqrt%28x%5E2-8x%2B16%2B4%29 ALIGN=MIDDLE  ALT=\"BC=sqrt%28x%5E2-8x%2B16%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC=sqrt%28x%5E2-8x%2B20%29 ALIGN=MIDDLE  ALT=\"BC=sqrt%28x%5E2-8x%2B20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "So now we can set AB = BC and solve for x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2%2B6x%2B10%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2%2B6x%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2-8x%2B20%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2-8x%2B20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > square both sides to get rid of the square root\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B6x%2B10+=+x%5E2-8x%2B20 ALIGN=MIDDLE  ALT=\"x%5E2%2B6x%2B10+=+x%5E2-8x%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract (x2-8x+20) from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-x%5E2%2B6x%2B8x%2B10-20+=+0 ALIGN=MIDDLE  ALT=\"x%5E2-x%5E2%2B6x%2B8x%2B10-20+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14x-10+=+0 ALIGN=MIDDLE  ALT=\"14x-10+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > add 10 to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14x+=+10 ALIGN=MIDDLE  ALT=\"14x+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > divide both sides by 14<BR>\n" );
document.write( "x = 10/14 = 5/7 </SPAN>\n" );
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