Solve equation 1102 Base 3= 212 Base n

asked Aug 8, 2023 69.4k views

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1 vote

Answer: 4

Explanation:

$1102_(3)=2+0(3)+1(9)+1(27)=38\\\\212_(n)=2+1(n)+2(n^2)=2n^2 + n+2\\\\\implies 2n^2 + n+2=38\\\\2n^2 + n-36=0\\\\(n-4)(2n+9)=0\\\\n=-(9)/(2), 4$

However, as the base must be positive, n=4.

Lunatik answered Aug 14, 2023

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