Real numbers a and b satisfy
a + ab^2 = 250b
a - ab = 240
Enter all possible values of a separated by commas.
+1768 Here's how to find all possible values of a:
Add the two equations: Adding both equations eliminates the term ab: 2a = 490
Solve for a: Divide both sides by 2: a = 245
Therefore, the only possible value of a is 245.
Note: We don't need to worry about finding possible values of b, as the problem only asks for a. However, if you're interested, you can substitute a = 245 back into either of the original equations to find that b = 5.
So, the answer is simply: 245
