Modular Root

Number Theory Level 3

n3−3n+7≡0(modn−5)2n2−n+2≡0(modn+6)n^3 - 3n +7 \equiv 0 \pmod{n-5} \\ 2n^2 - n +2 \equiv 0 \pmod{n+6}

What integer n≥5 n \geq 5 satisfies the above system of congruence equations?

Worranat Pakornrat by Worranat Pakornrat
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