document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199148>Question 199148</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive positive even integers such that the product of the first and second is two less than five times the third.(Only an algebraic solution will be accepted.): Find three consecutive positive even integers such that the product of the first and second is two less than five times the third.(Only an algebraic solution will be accepted.)<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 #149624 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley75><B>checkley75(3666)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley75><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=149624\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x, x+2 & x+4 be the 3 even integers.<BR>\n" );
document.write( "x(x+2)=5(x+4)-2<BR>\n" );
document.write( "x^2+2x=5x+20-2<BR>\n" );
document.write( "x^2+2x-5x-18=0<BR>\n" );
document.write( "x^2-3x-18=0<BR>\n" );
document.write( "(x-6)(x+3)=0<BR>\n" );
document.write( "x-6=0<BR>\n" );
document.write( "x=6 ans. for the first even integer.<BR>\n" );
document.write( "6+2=8 for the second even integer.<BR>\n" );
document.write( "6+4=10 for the third even integer.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "6*8=5*10-2<BR>\n" );
document.write( "48=50-2<BR>\n" );
document.write( "48=48<BR>\n" );
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