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Real numbers a and  b satisfy

a + ab^2 = 250b

a - ab = 0
Enter all possible values of  separated by commas.

 Jun 22, 2023
 #1
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factoring a from the second equation:
a(1 - b) = 0.

two cases satisfy this: a = 0 or b = 1.

if a = 0, the first equation becomes:
0 = 250b.
so a = 0, b = 0 is one solution.

if b = 1, the first equation becomes:
a + a = 250.
so a = 125, b = 1 is another solution.

solutions are (0,0), (125,1).

 Jun 22, 2023

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