document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=827964>Question 827964</A>: <I><SPAN STYLE=\"word-break: break-all;\"> So I have a 30-60-90 triangle with the short leg that has a length of 5x and the long leg with a length of x^2+2x. I have to solve for x. (Hint) use what you know about the ratio. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499463 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=499463\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If short leg is 5x, hyp is twice or 10x<BR>\n" );
document.write( "So we have ( x^2+2x )^2 + (5x)^2 = (10x)^2<BR>\n" );
document.write( "x^4 +4x^3 + 4x^2 +25x^2 = 100x^2<BR>\n" );
document.write( "subtract 100x^2 from each side<BR>\n" );
document.write( "x^4 +4x^3 + 4x^2 +25x^2 - 100x^2 = 0<BR>\n" );
document.write( "x^4 +4x^3 - 71x^2 = 0<BR>\n" );
document.write( "Factor<BR>\n" );
document.write( "x^2(x^2 + 4x -71)=0<BR>\n" );
document.write( "Since x^2 is a factor, one solution is zero<BR>\n" );
document.write( "Now solve x^2 + 4x -71 = 0<BR>\n" );
document.write( "See http://www.wolframalpha.com/input/?i=x^2%2B4x-71%3D0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2-5sqrt%283%29 ALIGN=MIDDLE  ALT=\"-2-5sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5sqrt%283%29-2 ALIGN=MIDDLE  ALT=\"5sqrt%283%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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