document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=741213>Question 741213</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Respected Sir,<BR>\n" );
document.write( "Please help me to solve this question:\r<BR>\n" );
document.write( "\n" );
document.write( "If(n+2)!=60[(n-1)!],find n.<BR>\n" );
document.write( "Thank you in anticipation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #451901 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=451901\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If (n+2)! = 60[(n-1)!], n=?<BR>\n" );
document.write( "(n+2)! = 60* ( (n-1)! )<BR>\n" );
document.write( "(n+2)! = (n+2) * (n+1) * (n) * (n-1)! <BR>\n" );
document.write( "{ (n+2) * (n+1) * (n) * (n-1)! } = 60* ( (n-1)! )<BR>\n" );
document.write( "=> { (n+2) * (n+1) * (n) * (n-1)! } = 60*( (n-1)! )\r<BR>\n" );
document.write( "\n" );
document.write( "=> n3 + 3n2 +2n - 60 = 0<BR>\n" );
document.write( "for n=3 we get 0 Substitute n = 3 <BR>\n" );
document.write( "=>( n3 + 3n2 +2n - 60 ) / [n-3]<BR>\n" );
document.write( "quotient= n2 +6n + 20 <BR>\n" );
document.write( "=> (n-3) , (n2 +6n + 20)<BR>\n" );
document.write( " n3 + 3n2 +2n - 60 = 0<BR>\n" );
document.write( " => (n-3) * (n2 +6n + 20) = 0 <BR>\n" );
document.write( "=> (n-3) = 0 or (n2 +6n + 20) = 0<BR>\n" );
document.write( "So n = 3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );