document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=953763>Question 953763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two consecutive integers is 5/6 of their product.find the two numbers<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 #805583 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=805583\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> consecutive integers: x, (x+1)\r<BR>\n" );
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document.write( "x + (x+1) = 5/6 * (x(x+1))<BR>\n" );
document.write( "2x + 1 = 5x^2/6 + 5x/6<BR>\n" );
document.write( "0 = 5x^2/6 - 7x/6 - 1<BR>\n" );
document.write( "0 = 5x^2 - 7x - 6<BR>\n" );
document.write( "0 = (x - 2)(5x + 3) = 0\r<BR>\n" );
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document.write( "The numbers are integers, so x = 2.\r<BR>\n" );
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document.write( "The integers are 2 and 3.<BR>\n" );
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