Real numbers a and b satisfy

a + ab^2 = 250b

a - ab = 240

Enter all possible values of a separated by commas.

Guest Jun 24, 2023

#1**0 **

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

bader Dec 14, 2023