document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1070108>Question 1070108</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A natural number is increased by 5 is equal to 36 times the reciprocal of the number. Find the number. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #685211 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=685211\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let n be the natural number, then<BR>\n" );
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document.write( "((n + 5) / 1) = (36 / n)<BR>\n" );
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document.write( "cross multiply fractions<BR>\n" );
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document.write( "n(n + 5) = 36<BR>\n" );
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document.write( "n^2 +5n -36 = 0<BR>\n" );
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document.write( "(n + 9) * (n - 4) = 0<BR>\n" );
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document.write( "Note that a natural number is a positive integer<BR>\n" );
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document.write( "n = -9, n = 4<BR>\n" );
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document.write( "we reject the negative number, -9 as a solution<BR>\n" );
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document.write( "The natural number solution is 4<BR>\n" );
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document.write( "check answer<BR>\n" );
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document.write( "4 + 5 = (36 / 4)<BR>\n" );
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document.write( "9 = 9<BR>\n" );
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document.write( "our answer checks<BR>\n" );
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