Suppose that the sum of the squares of two complex numbers $x$ and $y$ is $7$ and the sum of their cubes is $10.$ List all possible values for $x+y$, separated by commas.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Suppose that the sum of the squares of two complex numbers $x$ and $y$ is $7$ and the sum of their cubes is $10.$ List all possible values for $x+y$, separated by commas.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-5, 1, 4
Suppose that the sum of the squares of two complex numbers $x$ and $y$ is $7$ and the sum of their cubes is $10.$ List all possible values for $x+y$, separated by commas.
train