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Too much

Author: daniyar
Problem has been solved: 25 times

Русский язык | English Language



Let $ a $ and $ b $ be such (not necessarily real) numbers such that the equalities $ \frac {a ^ 2 + b ^ 2} {a + b} = 4 $ and $ \frac {a ^ 4 + b ^ 4} {a ^ 3 + b ^ 3} = 2 $. Find the sum of all possible values of the fraction $ \frac {a ^ 6 + b ^ 6} {a ^ 5 + b ^ 5} $





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