document.write( "Question 730767: if the 21st and 22nd terms in the expansion of (1+x)^44 are equal, find the value of x \n" ); document.write( "
Algebra.Com's Answer #853029 by ikleyn(53427)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "if the 21st and 22nd terms in the expansion of (1+x)^44 are equal, find the value of x
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "The 21th term is  C(44,20)*x^20 = \"%2844%21%2F%2820%21%2A24%21%29%29%2Ax%5E20\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The 22th term is  C(44,21)*x^21 = \"%2844%21%2F%2821%21%2A23%21%29%29%5Ex%5E21\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "They are equal\r\n" );
document.write( "\r\n" );
document.write( "    \"%2844%21%2F%2820%21%2A24%21%29%29%2Ax%5E20\" = \"%2844%21%2F%2821%21%2A23%21%29%29%5Ex%5E21\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It implies\r\n" );
document.write( "\r\n" );
document.write( "    \"%2821%21%2A23%21%29%2F%2820%21%2A24%21%29\" = x,\r\n" );
document.write( "\r\n" );
document.write( "or\r\n" );
document.write( "\r\n" );
document.write( "    x = \"21%2F24\" = \"7%2F8\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  x = \"7%2F8\".\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The answer in the post by @lynnlo is incorrect.
\n" ); document.write( "Simply ignore his post.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );