Simple. (Problem 1 1 )

Algebra Level pending

1729 − x = 1 2 n 1729 - x = 12^n

Find the smallest positive integer of x x and the largest positive integer of n n .

Give your answer as the smallest positive value of x x .


The answer is 1.

Yajat Shamji by Yajat Shamji , 16, United Kingdom

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1 solution

Yajat Shamji
Jul 7, 2020

1729 − x = 1 2 n 1729 - x = 12^n

1 2 1 = 12 12^1 = 12

1 2 2 = 144 12^2 = 144

1 2 3 = 1728 12^3 = 1728

1729 − x = 1728 1729 - x = 1728

Therefore, − x = 1728 − 1729 = − 1 -x = 1728 - 1729 = -1

x = 1 x = 1

1 \fbox{1} is the answer.

1 Helpful 1 Interesting 1 Brilliant 1 Confused

@Yajat Shamji why it is necessary to take the value of n n as 3 3 ??

A Former Brilliant Member - 11 months, 1 week ago

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You're finding x x

Yajat Shamji - 11 months, 1 week ago

Yes even I agree

Tattwa shiwani - 11 months, 1 week ago

I knew it wanted us to say 1 so I put it but there are many many many different answers as well

Adrian Ma - 11 months, 1 week ago

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