Step 1 :Given the equation: \(x \square - 2x^2 - 3 = 0\). Let's assume the missing operator is '+'.
Step 2 :Simplify the equation: \(-x^2 - 3 = 0\).
Step 3 :Identify the coefficients: \(a = -1\), \(b = 0\), and \(c = -3\).
Step 4 :Calculate the discriminant: \(\Delta = b^2 - 4ac = 0^2 - 4(-1)(-3) = -12\).
Step 5 :Since the discriminant is negative, there are no real roots. \(\boxed{\text{No real roots}}\)