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

Solve the equation 2 (x -3) – 3 (x-4) =12 .

Solve the equation sqrt(6 - 4x - x^(2)) = x + 4

Solve the equation sin^(-1)6 x+sin^(-1)6sqrt(3)x=(-pi)/2dot

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)

Consider the equation 2/x+5/y=1/3w h e r ex ,y in Ndot Find the number of solutions of the equation.

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

Solve the equation (x+2)(x+3)(x+8)xx(x+12)=4x^2dot

Let r_(1), r_(2) and r_(3) be the solutions of the equation x^(3) - 2 x^(2)+4 x+5074=0 , then the value of (r_(1) +2)(r_(2)+2)(r_(3)+2)

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