document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058619>Question 1058619</A>: <I><SPAN STYLE=\"word-break: break-all;\">  find the point whose distance from (7,-3) is square root of 58 and whose abscissa equals its ordinate. Please show your solution.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673708 by </B><A HREF=/tutors/aboutme.mpl?userid=solve_for_x><B>solve_for_x(190)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solve_for_x><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=673708\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the abscissa and ordinate of the unknown point are the same, the point<BR>\n" );
document.write( "can be represented by (x, x).\r<BR>\n" );
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document.write( "The distance from (7, -3) to (x, x) is given by:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2+=+%287+-+x%29%5E2+%2B+%28x+%2B+3%29%5E2 ALIGN=MIDDLE  ALT=\"d%5E2+=+%287+-+x%29%5E2+%2B+%28x+%2B+3%29%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=d%5E2+=+49+-+14x+%2B+x%5E2+%2B+x%5E2+%2B+6x+%2B+9 ALIGN=MIDDLE  ALT=\"d%5E2+=+49+-+14x+%2B+x%5E2+%2B+x%5E2+%2B+6x+%2B+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=d%5E2+=+2x%5E2+-+8x+%2B+58 ALIGN=MIDDLE  ALT=\"d%5E2+=+2x%5E2+-+8x+%2B+58\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the distance is equal to &#8730;58, we can write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%2858%29%29%5E2+=+2x%5E2+-+8x+%2B+58 ALIGN=MIDDLE  ALT=\"%28sqrt%2858%29%29%5E2+=+2x%5E2+-+8x+%2B+58\"   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=58+=+2x%5E2+-+8x+%2B+58 ALIGN=MIDDLE  ALT=\"58+=+2x%5E2+-+8x+%2B+58\"   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=2x%5E2+-+8x+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+-+8x+=+0\"   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=2x%28x+-+4%29+=+0 ALIGN=MIDDLE  ALT=\"2x%28x+-+4%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This gives solutions of x = 0 and x = 4.\r<BR>\n" );
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document.write( "Solution: There are two such points: (0, 0) and (4, 4) </SPAN>\n" );
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