If three unequal rational numbers can be expressed as either 1, a, a + B or 0, B, a / B, the values of a and B can be obtained

If three unequal rational numbers can be expressed as either 1, a, a + B or 0, B, a / B, the values of a and B can be obtained

Analysis: one number is 1, one number is 0, and the other number is 0?
In the second formula, if a / b = 1, then a = B is contradictory to the proposition; so B = 1
In the first formula, if a = 0, then a + B = 1, which contradicts the proposition; so a + B = 0, a = - 1
Therefore, the three rational numbers are 0, 1, - 1