document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=356150>Question 356150</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the sum of two consecutive positive even integers such that the square of the smaller is 4 more than 10 times the larger.\r<BR>\n" );
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document.write( "I need to know the procces so show steps please. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #254226 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=254226\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the sum of two consecutive positive even integers such that the square of the smaller is 4 more than 10 times the larger.<BR>\n" );
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document.write( "let the numbers be x & x+2<BR>\n" );
document.write( "the square of the smaller = x^2<BR>\n" );
document.write( "10 times larger = 10(x+2)<BR>\n" );
document.write( "4 more<BR>\n" );
document.write( "10(x+2)+4<BR>\n" );
document.write( "x^2=10(x+2)+4<BR>\n" );
document.write( "x^2=10x+20+4<BR>\n" );
document.write( "x^2=10x+24<BR>\n" );
document.write( "x^2-10x-24=0<BR>\n" );
document.write( "x^2-12x+2x-24=0<BR>\n" );
document.write( "x(x-12)+2(x-12)=0<BR>\n" );
document.write( "(x-12)(x+2)<BR>\n" );
document.write( "so the number is x=12 which is positive<BR>\n" );
document.write( "the other number =12+2= 14<BR>\n" );
document.write( "12+14=26 their sum<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca<BR>\n" );
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