**Quote:**

How would you know there could be no non- whole numbers as solutions in this problem?

If we consider the question statement alone, then there can be two values of 2

*y* + 3

*g*. One value for

*g* = 16 and one value for

*g* = -16.

However, we have not only the question statement itself but five answer choices as well. The question statement asks ".. which of the following can be ...". So one (only one) of the two values must be among the answer choices.

All the answer choices are integers. As wee see in the explanation,

*g* = 16 yields that value, 130. That is enough and we do NOT need to consider

*g* = -16.

However, if we calculate

*x* = -17/5 for

*g* = -16 it is clear that

*y* = 2

*g* +

*x*² = 2 ×

*integer* +

*fraction*² =

*fraction*so 2

*y* + 3

*g* = 2 ×

*fraction* + 3 ×

*integer *=

*fraction*