document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205343>Question 1205343</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find x, when 132 base x, = 72 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842076 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=842076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find x, when 132 base x, = 72<BR>\n" );
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document.write( "132 base 16 (hexadecimal) = 2 + 48 + 256 = 306 so it's less than 16<BR>\n" );
document.write( "132 base 8 = 2 + 24 + 64 =  90<BR>\n" );
document.write( "132 base 7 = 2 + 21 + 49 =  72<BR>\n" );
document.write( "----> base 7<BR>\n" );
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document.write( "If there's a method other than trial & error, I'm not aware of it.<BR>\n" );
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document.write( "OK, I figured it out.<BR>\n" );
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document.write( "1*x^2 + 3x + 2 = 72<BR>\n" );
document.write( "x^2 + 3x - 70 = 0<BR>\n" );
document.write( "(x + 10)*(x - 7) = 0<BR>\n" );
document.write( "---> x = 7<BR>\n" );
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document.write( "For base -10:<BR>\n" );
document.write( "2 + (-30) + 100 = 72 decimal<BR>\n" );
document.write( "Very strange to use a negative base<BR>\n" );
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document.write( "And I agree that it's poorly stated </SPAN>\n" );
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