document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824611>Question 824611</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need explanation and solution:<BR>\n" );
document.write( "The product of four consecutive natural numbers is 255024. Find these numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496613 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=496613\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be the first natural number, then<BR>\n" );
document.write( "x * (x+1) * (x+2) * (x+3) = 255024<BR>\n" );
document.write( "(x^2+x)* (x^2+5x+6) = 255024<BR>\n" );
document.write( "x^4 + 6x^3 + 11x^2 + 6x - 255024 = 0<BR>\n" );
document.write( "we get two sets of solutions for this problem<BR>\n" );
document.write( "(21, 22, 23, 24) or (-24, -23, -22, -21)<BR>\n" );
document.write( "check<BR>\n" );
document.write( "21 * 22 * 23 * 24 = 255024<BR>\n" );
document.write( "answer checks\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
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