" 9."x^(1/x)+a^(1/x)

Solve the following equation for x 9(x^2+1/x^2)- 9(x+1/x)-52 =0

If 3x + (1)/(3x) = 3 , find : (i) 9x^(2) + (1)/(9x^2)

Simplify |{:((1+x)^2,(1+x)^4,(1+x)^6),((1+x)^3,(1+x)^6,(1+x)^9),((1+x)^4,(1+x)^8,(1+x)^12):}|

Find the co-efficient of x in the expansion of the determinant |{:((1+x)^2,(1+x)^4,(1+x)^6),((1+x)^3,(1+x)^6,(1+x)^9),((1+x)^4,(1+x)^8,(1+x)^12):}|

Evaluate the following limits : Lim_(xto3) (x^(2)-9) (1/(x+3)+1/(x-3))

If x+ (1)/(x)=1 , find x^(9) + (1)/(x^(9))=

lim_(x rarr -1) (x^(9)+1)/(x^(14)-1)=