document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114531>Question 114531</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If fifteen less than two times a number is divided by six more than the number, the result is four less than 9 times the reciprocal of that number. Find the number </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83397 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=83397\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = \"a number\"<BR>\n" );
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document.write( "Break it down, write an expression for each phrase<BR>\n" );
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document.write( "If fifteen less than two times a number<BR>\n" );
document.write( "2x - 15<BR>\n" );
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document.write( "\"is divided by six more than the number,\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x-15%29%29%2F%28%28x%2B6%29%29 ALIGN=MIDDLE  ALT=\"%28%282x-15%29%29%2F%28%28x%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The word \"is\" usually mean \"=\" in these type problems<BR>\n" );
document.write( "\"result is four less than 9 times the reciprocal of that number.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x-15%29%29%2F%28%28x%2B6%29%29 ALIGN=MIDDLE  ALT=\"%28%282x-15%29%29%2F%28%28x%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx ALIGN=MIDDLE  ALT=\"1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 4<BR>\n" );
document.write( "Or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x-15%29%29%2F%28%28x%2B6%29%29 ALIGN=MIDDLE  ALT=\"%28%282x-15%29%29%2F%28%28x%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fx ALIGN=MIDDLE  ALT=\"9%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 4<BR>\n" );
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document.write( " Find the number<BR>\n" );
document.write( "Multiply equation by x(x+6) to get rid of the denominators<BR>\n" );
document.write( "x(x+6)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x-15%29%29%2F%28%28x%2B6%29%29 ALIGN=MIDDLE  ALT=\"%28%282x-15%29%29%2F%28%28x%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = x(x+6)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fx ALIGN=MIDDLE  ALT=\"9%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > - x(x+6)(4)<BR>\n" );
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document.write( "Cancel the denominators and you have:<BR>\n" );
document.write( "x(2x-15) = 9(x+6) - 4(x^2 + 6x)<BR>\n" );
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document.write( "2x^2 - 15x = 9x + 54 - 4x^2 - 24x<BR>\n" );
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document.write( "Arrange as a quadratic on the left:<BR>\n" );
document.write( "2x^2 + 4x^2 - 15x - 9x + 24x - 54 = 0<BR>\n" );
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document.write( "6x^2 - 54 = 0<BR>\n" );
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document.write( "6x^2 = +54<BR>\n" );
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document.write( "x^2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%2F6 ALIGN=MIDDLE  ALT=\"54%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x^2 = 9<BR>\n" );
document.write( "x = 3 is the number<BR>\n" );
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document.write( "Check solution in our initial equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%283%29-15%29%29%2F%28%283%2B6%29%29 ALIGN=MIDDLE  ALT=\"%28%282%283%29-15%29%29%2F%28%283%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 4<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286-15%29%29%2F%28%289%29%29 ALIGN=MIDDLE  ALT=\"%28%286-15%29%29%2F%28%289%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3 - 4<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-9%29%2F9 ALIGN=MIDDLE  ALT=\"%28-9%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -1; confirms our solution<BR>\n" );
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document.write( "How about this, did I make it understandable to you? </SPAN>\n" );
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