Solve `(sqrt(2-x))/(sqrt(2+x))=(2-x)/(2+x)`

Solve: sqrt2x^2-x-sqrt2=0

Solve: sqrt2x^2+x+sqrt2=0

Solve: sqrt5x^2+x+sqrt5=0

Solve: sqrt5x^2+x+sqrt5=0

Solve: sqrt3x^2+x+sqrt3=0 .

Solve: sqrt3x^2-sqrt2x+3sqrt3=0

Evaluate lim_(x rarr 1) (sqrt(x^(2)-1)+sqrt(x-1))/(sqrt(x^(2)-1))

Find the values of x of which the following functions are identical. f(X)=(sqrt(9-x^2))/(sqrt(x-2))and g(x) = sqrt((9-x^2)/(x-2))