Answer:
One possible value of b is 53.
Explanation:
To find the value of b, we can substitute the given solution x = 8 into the equation ax² + b = 181.
Substituting x = 8 into the equation, we have:
=> a(8)² + b = 181
=> 64a + b = 181
Since "a" and "b" are both positive integers greater than 1, we can find the values that satisfy the equation by testing different values of "a" and "b."
Let's start by assuming a = 2:
=> 64(2) + b = 181
=> 128 + b = 181
=> b = 181 - 128
∴ b = 53
Checking our answer, if we substitute a = 2 and b = 53 into the equation, we get:
=> 2(8²) + 53 = 181
=> 64(2) + 53 = 181
=> 128 + 53 = 181
∴ 181 = 181
Thus, one possible value of b is 53.