211 base x is equal to 10110 base 2

Mathematics

1 answer:

Alborosie3 years ago

3 0

Hello,

$(211)_x=(10110)_2\\\\2*x^2+x+1=22\\\\2x^2+x-21=0\\\Delta=1+4*2*21=169=13^2\\x=\dfrac{-1+13}{4}= 3\\or\\x=\dfrac{-1-13}{4}\ may\ not\ be\ negative\\\\$

<u>x=3</u>

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Answer:

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Step-by-step explanation:

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