If `x=4` then `2x^(1/2)3x^(-1)=`

If x^(2)+3x+1=0 then find x^(3)+(1)/(x^(3)),x^(4)+(1)/(x^(4)),x^(2)-(1)/(x^(2)),x^(2)+(1)/(x^(2))

If y = tan ^(-1) ((2x )/( 1 -x ^(2))) + tan ^(-1) ((3x - x ^(3))/( 1 - 3x ^(2)))- tan ^(-1) ((4x - 4x ^(3))/( 1 - 6x + x ^(4))), then show that (dy)/(dx) = (1)/(1 + x ^(2)).

If 1+ 2x + 3x^(2) + 4x^(3) + …oo= (9)/(4) (|x| lt 1) then x=

Solve for x :4^x-3^(x-1//2)=3^(x+1//2)-2^(2x-1) .

Solve for x: 4^(x) - 3^(x-1/2)=3^(x+1/2)-2^(2x-1) .

Solve for x:4^(x)-3^(x-1/2)=3^(x+1/2)-2^(2x-1)

Solve for x :4^x-3^(x-1//2)=3^(x+1//2)-2^(2x-1) .