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Let a and b be real numbers such that a + b = 4 and a^4 + b^4 = 16.

(a) Find all possible values of ab
(b) Find all possible values of a + b
(c) Find all possible values of a and b

 

\(\phantom{a^3 - b^3 = 52}\)

 
 Sep 2, 2022

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