document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=466593>Question 466593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the distance between points M(3,5) and N(8,a) is 13.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 #319936 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=319936\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> M(3,5) and N(8,a) is 13\r<BR>\n" );
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document.write( "13= sqrt((3-8)^2+(5-a)^2)\r<BR>\n" );
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document.write( "13=sqrt(25+25-10a+a^2)<BR>\n" );
document.write( "13=sqrt(50-10a+a^2)<BR>\n" );
document.write( "square the equation<BR>\n" );
document.write( "169 = a^2-10a+50<BR>\n" );
document.write( "a^2-10a-119=0<BR>\n" );
document.write( "Find the roots of the equation by quadratic formula							<BR>\n" );
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document.write( "a=	1	b=	-10	c=	-119		<BR>\n" );
document.write( "							<BR>\n" );
document.write( "b^2-4ac=	100	-	476				<BR>\n" );
document.write( "b^2-4ac=	576		<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28576%29 ALIGN=MIDDLE  ALT=\"sqrt%28576%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=	24<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >							<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >							<BR>\n" );
document.write( "x1=(	10	+	24	)/	2		<BR>\n" );
document.write( "x1=	17						<BR>\n" );
document.write( "x2=(	10	-24	) /	2			<BR>\n" );
document.write( "x2= 	-7						<BR>\n" );
document.write( "a=17 OR -7 </SPAN>\n" );
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