`(k+(1)/(k))=4`,find the value of `(k^4+(1)/(k^4))`

Find the value of k if |(5,2),(k,4)|=6

alpha, betaare the roots of the equation k(x^(2)-x)+x+5=0.ifk_(1),k_(2) are two values of k for which the roots alpha,beta are connected by the relation (alpha)/(beta)+(beta)/(alpha)=(4)/(5) .find the value of (k_(1))/(k_(2))+(k_(2))/(k_(1))

If 4:(k+3)::5:(k+5) find the value of k

If   ( k-2 ) /( k + 3 ) = 4/9 , then find the value of k

If I_(K)=int_(1)^(e)(ln x)^(k)dx(k in I^(+))dx(k in I^(+)) then find the value of I_(4)

If lim_(x to 1) (x^(3) - 1)/(x - 1) = lim_(x to k) (x^(4) - k^(4))/(x^(3) - k^(3)) , find the value of k.

If A=[[2,4-1,k]] and A^(2)=0, then find the value of k.

If alpha and (1)/(alpha) are zeros of 4x^(2)-17x+k-4 , then find the value of k .

Evaluate, lim_(x to 1) (x^(4)-1)/(x-1)=lim_(x to k) (x^(3)-k^(3))/(x^(2)-k^(2)) , then find the value of k.