Given that a and B belong to positive real numbers and a + b-ab + 3 = 0, then the value range of ab Hurry!

Given that a and B belong to positive real numbers and a + b-ab + 3 = 0, then the value range of ab Hurry!

a. B belongs to positive real number, so a ^ 2 + B ^ 2 > = 2Ab, because AB + 3 = a + B, so (ab-3) ^ 2 = (a + b) ^ 2 = a ^ 2 + B ^ 2 + 2Ab > = 4AB, that is, (ab-3) ^ 2-4ab > = 0, get (AB) ^ 2-10ab + 9 > = 0, that is, (ab-9) (AB-1) > = 0, so AB = 9, and because AB > 0 and ab = a + B + 3 > 3, so the value range of AB is (9