document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=27822>Question 27822</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 5 is added to a number, the result is the same as that obtained by multiplying it reciprocal by 14. What is 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 #15156 by </B><A HREF=/tutors/aboutme.mpl?userid=bmauger><B>bmauger(101)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bmauger><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=15156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If 5 is added to a number (5+x), the result is the same as (equals) that obtained by multiplying its reciprocal (1/x) by 14 (times 14). What is the number?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Bx=%281%2Fx%29%2A14 ALIGN=MIDDLE  ALT=\"5%2Bx=%281%2Fx%29%2A14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Bx=14%2Fx ALIGN=MIDDLE  ALT=\"5%2Bx=14%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >Multiply all terms by x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2Bx%5E2=14 ALIGN=MIDDLE  ALT=\"5x%2Bx%5E2=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >Rearrange:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B5x=14 ALIGN=MIDDLE  ALT=\"x%5E2%2B5x=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >Solving by completing the square (adding (5/2)^2 to both sides):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B5x%2B%285%2F2%29%5E2=14%2B%285%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B5x%2B%285%2F2%29%5E2=14%2B%285%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%2F2%29%5E2=81%2F4 ALIGN=MIDDLE  ALT=\"%28x%2B5%2F2%29%5E2=81%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5%2F2=+0+%2B-sqrt%2881%2F4%29 ALIGN=MIDDLE  ALT=\"x%2B5%2F2=+0+%2B-sqrt%2881%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >(Ignore the 0, just makes the equation editor work)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5%2F2=+0+%2B-+9%2F2 ALIGN=MIDDLE  ALT=\"x%2B5%2F2=+0+%2B-+9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Again, ignore the 0)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5%2F2%2B-+9%2F2 ALIGN=MIDDLE  ALT=\"x=-5%2F2%2B-+9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-5%2B-+9%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-5%2B-+9%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%2B9%29%2F2 ALIGN=MIDDLE  ALT=\"%28-5%2B9%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=2 or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5-9%29%2F2 ALIGN=MIDDLE  ALT=\"%28-5-9%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=-7\r<BR>\n" );
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document.write( "If 5 is added to 2, the result (7) is the same as its reciprocal (1/2) multiplied by 14 (1/2*14=7) Check.<BR>\n" );
document.write( "If 5 is added to -7 the result (-2) is the same as its reciprocal (-1/7) multiplied by 14 (-1/7*14=-2) Check. </SPAN>\n" );
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