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Real numbers a and  b satisfy

a + ab^2 = 250b

a - ab = 240
Enter all possible values of a  separated by commas.

 Jun 24, 2023
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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

 Dec 14, 2023

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