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lesya [120]
4 years ago
9

Determine the value of base x if (211)x = (6A)16

Mathematics
1 answer:
igor_vitrenko [27]4 years ago
4 0
211_x=2x^2+x+1
6A_{16}=106_{10}

\implies 2x^2+x+1=106\iff 2x^2+x-105=(x-7)(2x+15)=0

This has two solutions, x=7 and x=-\dfrac{15}2.
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Step-by-step explanation:

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