Solve the equation `x^2-x+1=1/2+sqrt(x-3/4), w h e r e xgeq3/4`

Solve the equation for x : (i)\ 4^(2x)=1/(32) (ii)\ sqrt((3/5)^(1-2x))=4(17)/(27)

Solve the following equations: ||x-1|-e|=3

Solve the equation sqrt(2x-1)+sqrt(3x-2)=sqrt(4x-3)+sqrt(5x-4).

Solve the equation: |[3,x],[x,1]|=|[3,2],[4,1]|

If alpha,a n dbeta be t roots of the equation x^2+p x-1//2p^2=0,w h e r ep in Rdot Then the minimum value of alpha^4+beta^4 is 2sqrt(2) b. 2-sqrt(2) c. 2 d. 2+sqrt(2)

Solve the following system of equations: 1/(2x)-1/y=-1 and 1/x+1/(2y)=9,w h e r e x!=0,y!=0.

Solve the equation x^4 +4x^3 +5x^2 +2x -2=0 given that -1 + sqrt(-1 ) is a root

Solve (x^3-4x)sqrt(x^2-1)=0.

The number of solution of equation sin^(-1)x+nsin^(-1)(1-x)=(mpi)/2,w h e r en >0,mgeq0, is 3 (b) 1 (c) 2 (d) None of these

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