Solve for `x`: `(5+2sqrt(6))^[x^2-3]+(5-2sqrt(6))^[x^2-3]=10`

Find product of all real values of x satisfying (5+2sqrt6)^(x^2-3)+(5-2sqrt6)^(x^2-3)=10 .

Solve for x : sqrt3x^(2)+14x-5sqrt3=0

Solve for x sqrt3x^2-2sqrt(2)x-2sqrt3=0

Solve for x : cos(x/2+10^(@))=sqrt(3)/2

Solve the equation (2+sqrt(3))^(x^(2)-2x+1)+(2-sqrt(3))^(x^(2)-2x-1)=101/(10(2-sqrt(3))

Using properties of proportion solve for x, given (sqrt(5x)+sqrt(2x-6))/(sqrt(5x)-sqrt(2x-6))=4 .

Factorise : 2sqrt(3)x^(2) + x - 5sqrt(3)

Solve by factorization: sqrt(3)x^2-2sqrt(2)x-2sqrt(3)=0

If (5+2sqrt6)^(x^(2)-8)+(5-2sqrt6)^(x^(2)-8)=10, x inR On the basis of above information, answer the following questions : Number of solution (s) of the given equation is/ are -

If (5+2sqrt6)^(x^(2)-8)+(5-2sqrt6)^(x^(2)-8)=10, x inR On the basis of above information, answer the following questions : Sum of positive solutions is