Real numbers a and b satisfy

a + ab^2 = 250b

a - ab = 0

Enter all possible values of separated by commas.

Guest Jun 22, 2023

#1**+1 **

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).

Guest Jun 22, 2023