If M is a real number and the opposite number of a root of equation x2-3x + M = 0 is a root of equation x2 + 3x-3 = 0, then the root of equation x2-3x + M = 0 is a real number___ .

If M is a real number and the opposite number of a root of equation x2-3x + M = 0 is a root of equation x2 + 3x-3 = 0, then the root of equation x2-3x + M = 0 is a real number___ .

The root of solving equation x2 + 3x-3 = 0 is x = - 3 ± 212. The opposite number of a root of equation x2-3x + M = 0 is a root of equation x2 + 3x-3 = 0, so the opposite number of a root of equation x2 + 3x-3 = 0 is a root of equation x2-3x + M = 0. Then the root of equation x2-3x + M = 0 is -- 3 ± 212, that is 3 ± 212