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Home » This is a quadratic equation, which can be factored as: - IX Labs

This is a quadratic equation, which can be factored as: - IX Labs

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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Thus, the sum of all positive odd divisors of 180 is $ \boxed{78} $.
Question: What is the remainder when $ 11071 + 11073 + 11075 + 11077 $...
Solution: We compute the sum modulo 8. First, reduce each term modulo...
\equiv 7 \pmod{8}, \quad 11073 \equiv 1 \pmod{8}, \quad 11075 \equiv 3...
Now sum them modulo 8:
+ 1 + 3 + 5 = 16 \equiv 0 \pmod{8}
Question: What two-digit positive integer is one more than a multiple...
Solution: Let $ x $ be the two-digit number. We are given:
x \equiv 1 \pmod{7}, \quad x \equiv 3 \pmod{5}
We solve this system using the Chinese Remainder Theorem.

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