If `(1/8 -2/4x+1) =0` then find value of `x`

If x in (0, 1) , then find the value of tan^(-1) ((1 -x^(2))/(2x)) + cos^(-1) ((1 -x^(2))/(1 + x^(2)))

If x in [-1, 0] , then find the value of cos^(-1) (2x^(2) - 1) - 2 sin^(-1) x

If x in [-1, 0) then find the value of cos^(-1) (2x^(2) -1) -2 sin^(-1) x

If |[1, x, x^2], [x, x^2, 1], [x^2, 1, x]|=3, then find the value of |[x^3-1, 0, x-x^4], [0, x-x^4, x^3-1], [x-x^4, x^3-1, 0]|

If x in [-1,0], then find the value of cos^(-1)(2x^2-1)-2sin^(-1)x

If x=2+sqrt(3) , then find the value of x^(4)-4x^(3)+x^(2)+x+1 .

If abx^(2)=(a-b)^(2)(x+1) , then find the value of 1+(4)/(x)+(4)/(x^(2)) in terms of a and b.

If 2((1,3),(0,x))+((y,0),(1,2))=((5,6),(1,8)) , then find the value of x+y.

If int _(0)^(oo) (x ^(3))/((a ^(2)+ x ^(2)))dx = (1)/(ka ^(6)), then find the value of k/8.

If (2x4)(x-8)=0 , find the positive value of x