document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=994756>Question 994756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of two consecutive positive integers is 56. What is the smaller integer? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #805299 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=805299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using some guessing and checking, we see that the integers are 7 and 8.\r<BR>\n" );
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document.write( "Here is a more algebraic approach:\r<BR>\n" );
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document.write( "smaller integer = x\r<BR>\n" );
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document.write( "x(x+1) = 56<BR>\n" );
document.write( "x^2 + x = 56<BR>\n" );
document.write( "x^2 + x - 56 = 0<BR>\n" );
document.write( "(x + 8)(x - 7) = 0\r<BR>\n" );
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document.write( "x is positive, so x = 7. </SPAN>\n" );
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