document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=519624>Question 519624</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of 2 consecutive even integers is 28 more than 5 times the smaller number.  Find the 2 numbers (they are positive).  \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 #345720 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=345720\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two consecutive even numbers can be defined as:<BR>\n" );
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document.write( "x+2<BR>\n" );
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document.write( "x*(x+2) = 5*x +28<BR>\n" );
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document.write( "x^2 +2x =5x + 28<BR>\n" );
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document.write( "x^2 -3x -28 = 0<BR>\n" );
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document.write( "factor<BR>\n" );
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document.write( "(x-7)(x+4) = 0<BR>\n" );
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document.write( "x = 7 or x = -4<BR>\n" );
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document.write( "So, there are no two consecutive even integers whose product is 28 more than 5 times the smaller.<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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