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Real numbers a and  b satisfy \( a + ab^2 &= 250b, a - ab^2 &= -240b. \)
Enter all possible values of  separated by commas.

 May 24, 2023
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The only possible values of a is 5.

To solve this problem, we can add the two equations together to get:

2a = 10

a = 5

We can then substitute this value of a into either equation to solve for b. If we substitute it into the first equation, we get:

5 + 5b = 250b

5b = 245

b = 49

Therefore, the only possible value of a is 5.

 May 24, 2023

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