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How do I find the value of b?

How do I find the value of b?-example-1
User Andrew Sun
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1 Answer

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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.

User Catzilla
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