document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=742639>Question 742639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if disatance between two points (a+2,3)and (5,-1) is 5 units,find the value of a. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #455682 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><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=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=455682\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For convenience we work with d^2 instead of d\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Ad%5E2=%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0Ad%5E2=%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "becomes:\r<BR>\n" );
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document.write( "then\r<BR>\n" );
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document.write( "Notice that after we square a real quantity the result is positive so<BR>\n" );
document.write( "(3-a)^2=(a-3)^2\r<BR>\n" );
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document.write( "and so we rewrite it as this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-3%29%5E2=25-16 ALIGN=MIDDLE  ALT=\"%28a-3%29%5E2=25-16\"   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=%28a-3%29%5E2=9 ALIGN=MIDDLE  ALT=\"%28a-3%29%5E2=9\"   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=abs%28a-3%29=3 ALIGN=MIDDLE  ALT=\"abs%28a-3%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "this means  a-3=3  or a-3=-3\r<BR>\n" );
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document.write( "and so a=6 or a=0\r<BR>\n" );
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document.write( "checking...\r<BR>\n" );
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document.write( "(5-(0+2))^2+(-1-3)^2=3^2+4^2\r<BR>\n" );
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document.write( "and so 0 works\r<BR>\n" );
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document.write( "(5-(6+2))^2+(-1-3)^2=(-3)^2+(-4)^2\r<BR>\n" );
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document.write( "and so does 6\r<BR>\n" );
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