document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=231257>Question 231257</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of two consecutive positive even integers is 80.  Find the integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171216 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><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=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=171216\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We need 2 Equations with 2 Variables. <BR>\n" );
document.write( "Consecutive even numbers have a difference of 2. For example, 4-2=2. 6-4=2,8-6=2. <BR>\n" );
document.write( "Let x= the larger number<BR>\n" );
document.write( "Let y= the smaller number <BR>\n" );
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document.write( "Eqn 1: x-y=2<BR>\n" );
document.write( "Eqn 2: x*y=80\r<BR>\n" );
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document.write( "Rearrange Eqn 1 to isolate for x:<BR>\n" );
document.write( "Eqn 1: x=2+y <BR>\n" );
document.write( "Sub this into Eqn 2: <BR>\n" );
document.write( "(2+y)*y=80<BR>\n" );
document.write( "2y+y^2=80<BR>\n" );
document.write( "y^2+2y-80=0\r<BR>\n" );
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document.write( "Factor (think, what numbers multiply to -80 and add up to +2?:<BR>\n" );
document.write( "(y+10)(y-8)=0\r<BR>\n" );
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document.write( "y=-10 or y=8<BR>\n" );
document.write( "Sub the positive answer (+8) into Eqn 1: <BR>\n" );
document.write( "x-8=2<BR>\n" );
document.write( "x=10<BR>\n" );
document.write( "The two numbers are 10 and 8. </SPAN>\n" );
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