Solve the equation `x^2-x+1=1/2+sqrt(x-3/4),w h e r exgeq3/4dot`

Solve the equation x^(2)-x+1=(1)/(2)+sqrt(x-(3)/(4)), where x>=(3)/(4)

Solve the equation 2|x-2|-3|x+4|=1

Solve the equation x^(2)+x+(1)/(sqrt(3))=0

Show that the functions f(x)=x^(2)-x+1, x ge 1/2 and phi(x)=1/2+sqrt(x-3/4) and mutually inverse and solve the equation x^(2)-x+1=1/2 +sqrt(x-3/4) .

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

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]|

Solve the equation 3^(x+1)C_(2)+P_(2)x=4^(x)A_(2),x in N .

Solve the equation x^(4)+4x^(3)+5x^(2)+2x-2=0, one root being -1+sqrt(-1)