3) If `1/2(x+1)+1/2(x+4)=1/6(x-1)` then the value of x is ?

If x+1/x=3 , then the value of x^6+1/x^6 is.

If the third derivative of (x^(4))/((x-1)(x-2)) is (-12k)/((x-2)^(4))+(6)/((x-1)^(4)) , then the value of k is

If 7/9x -1/6 x =1/3 +1/2, what is the value of x ?

If (2)//(5)(5x)+2(x-1)=4(x+1)-2 , what is the value of x?

If x =1 +i, then the value of x^(6)+x^(4)+x^(2)+1 is

If x-1/x=1/2 , then write the value of 4x^2+4/(x^2)

If the function f (x)=-4e^((1-x)/(2))+1 +x+(x ^(2))/(2)+ (x ^(3))/(3) and g (x) =f ^(-1)(x), then the value of g'((-7)/(6)) equals :

Solve : (2x)/(3)-(x-1)/(6)+(7x-1)/(4)=2(1)/(6) . Hence, find the value of 'a', if (1)/(a)+5x=8 .

If f (x)=((x+1)^(7)sqrt(1+x ^(2)))/((x^(2) -x+1)^(6)), then the value of f'(0) is equal to: