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