If `x^4+8x^2+12=K(x^2+a)(x^2+2)+4(x^2+2),` then find value of `k+a` where `k and a` both are positive integers.

If (x-4)/(x^(2)-5x-2k)=(2)/(x-2) - (1)/(x+k) , then find k ?

If (x-4)/(x^(2)-5x+2k)=(2)/(x-2) - (1)/(x-k) , then find k ?

If x^(2) + 8x+ k is a perfect square , then find the value of k .

If (x-2) is a factor of 2x^3 + 3x^2 - 8x+k ,then the value of k is

If 3x-4y+k=0 is a tangent to x^(2)-4y^(2)=5 , find value of k.

int_(0)^( pi)sqrt((cos x+cos2x+cos3x)^(2)+(sin x+sin2x+sin3x)^(2))dx is equal to ((pi)/(k)+w), where k and w are positive integers,find the value of (k^(2)+w^(2))

f(x)=x^(2)+16 . For what value of k is f(2k+1)=2f(k)+1 if k is a positive integer?

If (x-4)/(x^(2)-5x-2k)=2/(x-2)-1/(x+k), " then "k=