document.write( "Question 1118297: find n if p(n,4)=12p(n,2) \n" ); document.write( "
Algebra.Com's Answer #733576 by math_helper(2461)\"\" \"About 
You can put this solution on YOUR website!
Ans: \"+highlight%28+n=6+%29+\"
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\n" ); document.write( "\n" ); document.write( "Workout:\r
\n" ); document.write( "\n" ); document.write( "\"+n%21%2F%28n-4%29%21+=+12%28n%21%2F%28n-2%29%21%29+\"

\n" ); document.write( "Divide both sides by n!:
\n" ); document.write( "\"++1%2F%28n-4%29%21++=+12%2F%28n-2%29%21+\"

\n" ); document.write( "Re-arrange to:
\n" ); document.write( "\"++12%28n-4%29%21+=+%28n-2%29%21+\"
\n" ); document.write( "\"++4%2A3%2A%28n-4%29%21+=+%28n-2%29%21+\"\r
\n" ); document.write( "\n" ); document.write( "Logically, the left hand side needs to be \"+4%2A3%2A2%2A1+\"
\n" ); document.write( "which implies n-4 = 2 ==> n=6
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\n" ); document.write( "\n" ); document.write( "Check: P(6,4) = 360
\n" ); document.write( " 12P(6,2) = 12*30 = 360 \r
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