document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178846>Question 1178846</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E3%2B5x-10=0+ ALIGN=MIDDLE  ALT=\"+x%5E3%2B5x-10=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then find the value of <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E7%2B100x%5E2%2B25x+ ALIGN=MIDDLE  ALT=\"+x%5E7%2B100x%5E2%2B25x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #808289 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=808289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Given: x^3+5x-10=0<br><BR>\n" );
document.write( "Rewrite as x^3=10-5x, and also as x^3+5x=10<br><BR>\n" );
document.write( "Square both sides in the first of those: x^6=100-100x+25x^2<br><BR>\n" );
document.write( "Multiply by x: x^7=100x-100x^2+25x^3<br><BR>\n" );
document.write( "Use that to evaluate the expression we are to evaluate:<br><BR>\n" );
document.write( "x^7+100x^2+25x = 100x+25x^3+25x = 125x+25x^3 = 25(x^3+5x) = 25(10) = 250<br><BR>\n" );
document.write( "ANSWER: 250<br><BR>\n" );
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