document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=861357>Question 861357</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.<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 #518975 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=518975\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the natural numbers be x,x+1,x+2,x+3\r<BR>\n" );
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document.write( "The product is 255024\r<BR>\n" );
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document.write( "x(x+1)(x+2)(x+3)=255024\r<BR>\n" );
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document.write( "rearrange\r<BR>\n" );
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document.write( "x(x+3)(x+1)(x+2)=255024\r<BR>\n" );
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document.write( "(x^2+3x)(x^2+3x+2)=255024\r<BR>\n" );
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document.write( "let x^2+3x=a\r<BR>\n" );
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document.write( "a(a+2)=255204\r<BR>\n" );
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document.write( "a^2+2a= 255024\r<BR>\n" );
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document.write( "a^2+2a+1=255024+1\r<BR>\n" );
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document.write( "(a+1)^2= 255025\r<BR>\n" );
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document.write( "take the square root\r<BR>\n" );
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document.write( "(a+1) = +/- 505\r<BR>\n" );
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document.write( "a=504 OR -506\r<BR>\n" );
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document.write( "substitute a\r<BR>\n" );
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document.write( "x^2+3x-504 =0\r<BR>\n" );
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document.write( "x^2+24x-21x-504=0\r<BR>\n" );
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document.write( "x(x+24)-21(x+24)=0\r<BR>\n" );
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document.write( "(x+24)(x-21)=0\r<BR>\n" );
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document.write( "x= 21 a natural number\r<BR>\n" );
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document.write( "OR\r<BR>\n" );
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document.write( "x^2+3x=-506\r<BR>\n" );
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document.write( "x^2+3x+506=0\r<BR>\n" );
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document.write( "the roots are not real\r<BR>\n" );
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document.write( "Hence x=21\r<BR>\n" );
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document.write( "21,22,23,24 are the numbers\r<BR>\n" );
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