document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=864327>Question 864327</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble figuring out how to work this problem out.  Cannot get the right equations or answer.\r<BR>\n" );
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document.write( "Find two consecutive even integers such that the square of the second, decreased by three times the first is 46.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #520922 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=520922\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find two consecutive even integers such that the square of the second, decreased by three times the first is 46.  \r<BR>\n" );
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document.write( "let the integers be x & (x+2)\r<BR>\n" );
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document.write( "square of the second = (x+2) ^2\r<BR>\n" );
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document.write( "decreased by 3 times the first\r<BR>\n" );
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document.write( "(x+2)^2-3x46\r<BR>\n" );
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document.write( "x^2+4x+4-3x=46\r<BR>\n" );
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document.write( "x^2+x=46-4\r<BR>\n" );
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document.write( "x^2+x=42\r<BR>\n" );
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document.write( "x^2+x-42=0\r<BR>\n" );
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document.write( "x^2+7x-6x-42=0\r<BR>\n" );
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document.write( "x(x+7)-6(x+7)=0\r<BR>\n" );
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document.write( "(x+7)(x-6)=0\r<BR>\n" );
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document.write( "x=-7 OR x=6\r<BR>\n" );
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document.write( "even integers\r<BR>\n" );
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document.write( "so 6 & 8 </SPAN>\n" );
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