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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 15, 2022
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(a,b) = (7 + sqrt(5), 5 - sqrt(5))

 Nov 16, 2022

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