Hehe look at it

Algebra Level 2

If a , b , c a, b, c are distinct real numbers such that a + 1 b = b + 1 c = c + 1 a , a+\frac{1}{b}=b+\frac{1}{c}=c+\frac{1}{a}, find ∣ a b c ∣ . |abc|.


The answer is 1.

Atul Shivam by Atul Shivam , 23, India

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2 solutions

Subtracting 2 equations at a time and multiplying rhs and lhs, simultaneously all differences cancel out to give the result

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Sam Harper
Oct 24, 2015

Find c*2/c=1, find that for every number, 1x1x1=1

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