WheatyPie wrote:
You're right, I was forgetting about the stem. However, the stem also admits non-integer solutions. It would be difficult (and also out of scope) to check whether the irrational solutions to the stem coincide with those of statement 2.
It's a bit of a sloppy question if we don't state that x must be an integer. I don't think the official test would ask a question like this without saying that x is an integer.
The equation in the stem is a bit of a famous one in math, and it has three solutions in total, the two positive integer solutions 2 and 4, and one negative non-integer solution, which is close to -0.77. It's an example of something called a "transcendental equation" and those equations typically have some solutions which can't be expressed neatly (using integers and roots, say), which is the case with the negative solution here.
But as Bunuel points out above, this is an official question, and this is its wording. There's nothing wrong with the wording since there's no need to identify the non-integer solutions to any of the given equations. If you just combine the equations immediately (rather than solve them individually to see where the solutions overlap), only one integer solution is possible.
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