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mrs_skeptik [129]
2 years ago
15

Solve equation 1102 Base 3= 212 Base n​

Mathematics
1 answer:
Norma-Jean [14]2 years ago
8 0

Answer: 4

Step-by-step 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=-\frac{9}{2}, 4

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

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