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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

 Nov 18, 2022
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The solution is (3 + sqrt(7), 1 - sqrt(7)).

 Nov 18, 2022

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