document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189277>Question 189277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The additive inverse of a number divided by 16 is the same as 1 less than -5 times its reciprocal.  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 #142053 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=142053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The additive inverse of a number divided by 16 is the same as 1 less than -5 times its reciprocal.<BR>\n" );
document.write( " Find the number.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = \"a number\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-x%29%2F16 ALIGN=MIDDLE  ALT=\"%28-x%29%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -5(<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;\" >) - 1 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-x%29%2F16 ALIGN=MIDDLE  ALT=\"%28-x%29%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2Fx ALIGN=MIDDLE  ALT=\"-5%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 1<BR>\n" );
document.write( "multiply equation by -1, get rid of all these negatives:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F16 ALIGN=MIDDLE  ALT=\"x%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Fx ALIGN=MIDDLE  ALT=\"5%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1<BR>\n" );
document.write( "Multiply equation by 16x, results:<BR>\n" );
document.write( "x^2 = 16(5) + 16x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x^2 = 80 + 16x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x^2 -16x - 80 = 0<BR>\n" );
document.write( "Factors to:<BR>\n" );
document.write( "(x-20)(x+4) = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x = +20<BR>\n" );
document.write( "x = -4<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solutions in original equation:<BR>\n" );
document.write( "x=20<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-20%29%2F16 ALIGN=MIDDLE  ALT=\"%28-20%29%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -5(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F20 ALIGN=MIDDLE  ALT=\"1%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" >) - 1 <BR>\n" );
document.write( "-1.25 = -.25 - 1<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x=-4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-%28-4%29%29%2F16 ALIGN=MIDDLE  ALT=\"%28-%28-4%29%29%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -5(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28-4%29 ALIGN=MIDDLE  ALT=\"1%2F%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >) - 1 <BR>\n" );
document.write( "+.25 = +1.25 - 1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );