document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=777836>Question 777836</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference between 6 times number and its square is 91. Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #474319 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=474319\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 6* number = 6x<BR>\n" );
document.write( "the number's square = x^2<BR>\n" );
document.write( "x^2 - 6x = 91<BR>\n" );
document.write( "x^2 - 6x - 91 = 0<BR>\n" );
document.write( "(x - 13)(x + 6) = 0<BR>\n" );
document.write( "x + 6 = 0<BR>\n" );
document.write( "x = -6 (no answer as x < 0)<BR>\n" );
document.write( "x - 13 = 0<BR>\n" );
document.write( "x = 13.<BR>\n" );
document.write( "13 is the number.<BR>\n" );
document.write( "13^2 - 6(13) = 91<BR>\n" );
document.write( "169 - 78 = 91<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( ":-) </SPAN>\n" );
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