An algebra problem by Prema Jyothi Thejaswini

Algebra Level 1

If 2^3+n=3^2 find n

3 0 2 -1 1

Prema Jyothi Thejaswini by Prema Jyothi Thejaswini , 48, India

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3 solutions

2^3 + n = 3^2

8+n=9

n=1

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Mohamed Ameén
May 14, 2015

8+n=9
n=1 simple!

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2^3+n=3^2 implies 8+n=9 therefore n=9-8=1

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x y − a b = 1 x^y-a^b=1 with x , y , a , b > 1 x,y,a,b>1 can only be possible with 3 2 − 2 3 = 1 3^2-2^3=1 ( Catalan's conjecture (now proved)). It is interesting you picked those numbers.

mathh mathh - 6 years, 1 month ago

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Wow! Thanks for introducing me to that conjecture ,I hadn't known about it till now .

A Former Brilliant Member - 6 years, 1 month ago

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