document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1094532>Question 1094532</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three points D(-5,6), E(2,-1), and F(x,0) are given. Find the value of X if DF=EF. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837921 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=837921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  find the distances DF and EF using the distance formula:\r<BR>\n" );
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document.write( "Distance formula: d = sqrt((x₂ - x₁)^2 + (y₂ - y₁)^2)\r<BR>\n" );
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document.write( "DF = sqrt((-5 - x)^2 + (6 - 0)^2)\r<BR>\n" );
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document.write( "EF = sqrt((2 - x)^2 + (-1 - 0)^2)\r<BR>\n" );
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document.write( "sqrt((-5 - x)^2 + (6 - 0)^2) = √((2 - x)^2 + (-1 - 0)^2)\r<BR>\n" );
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document.write( "Squaring both sides of the equation to eliminate the square roots:\r<BR>\n" );
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document.write( "((-5 - x)^2 + (6 - 0)^2) = ((2 - x)^2 + (-1 - 0)^2)\r<BR>\n" );
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document.write( "simplify\r<BR>\n" );
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document.write( "25+10x+x^2 +36=4-4x+x^2+1\r<BR>\n" );
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document.write( "14x=-56\r<BR>\n" );
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document.write( "x=-56/14\r<BR>\n" );
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document.write( " </SPAN>\n" );
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