Math Question: We say that a point P = (x, y) in the plane is splendid if both x and y are rational numbers. An equation F(x, y) = 0 is said to contain a splendid point if there exists a splendid point (a, b) for which F(a, b) = 0. Prove tha the equation F(x, y) = x^2 + y^2 – 3 = 0 does not contain any splendid points.