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Home » \( a - 2b = -1 \) - Crosslake

\( a - 2b = -1 \) - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 But not 7,8,9.

📌 Perhaps the intended modulus was smaller.

📌 Suppose it was 5, 7, 8: LCM = 280 — no.

📌 Wait — maybe it’s not all three simultaneously. But the phrasing a multiple of 7, 8, and 9 implies collectively — a common multiple.

📌 After re-evaluation, perhaps the intended answer is based on a different interpretation.

📌 Alternatively, maybe the number is three less than a multiple of **each**, but not necessarily the same multiple — but that’s the same.

📌 Perhaps the question is:

📌 What two-digit number is three less than a multiple of 7, and when divided by 8 gives remainder 7, and when divided by 9 gives remainder 6? — but that’s speculative.

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\( f(1) = a(1)^3 + b(1)^2 + c(1) + d = 3 \), which simplifies to:
a + b + c + d = 3
\( f(2) = a(2)^3 + b(2)^2 + c(2) + d = -1 \), which simplifies to:
8a + 4b + 2c + d = -1
\( f(3) = a(3)^3 + b(3)^2 + c(3) + d = 2 \), which simplifies to:
27a + 9b + 3c + d = 2
\( f(4) = a(4)^3 + b(4)^2 + c(4) + d = 5 \), which simplifies to:
64a + 16b + 4c + d = 5
Now, solve this system of equations:
Subtract the first equation from the second:

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