Solve the following equations: `sqrt 3``x^2`-`sqrt 2` x +3 `sqrt 3` = 0

Solve the following equations: sqrt 2 x^2 + x + sqrt 2 = 0

Solve the following equations: x^2 -x+ frac{1}{sqrt 2} = 0

Solve the following equations: x^2 + frac{x}{sqrt 2} +1 = 0

Solve the following equations. x^2 + x + 1/sqrt(2) = 0

Find the value of the discriminant of each of the following quadratic equations: sqrt3x^2+2sqrt2x-2sqrt3=0

Solve the following quadratic equations: x^2 -(3 sqrt 2 +2i)x+6 sqrt 2 i=0

Solve the following quadratic equations: 2 x^2 - sqrt 3 x+1=0