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Math·Advanced Math·Nonlinear equations in one variable and systems of equations in two variables

hard

$$x-a=(x-a)(x-27)$$
Which of the following are solutions to the given equation, where $a$ is a constant and $a>28$?

I. $a$
II. $27$
III. $28$

A

I and II only

B

I and III only

C

II and III only

D

I, II, and III