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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

 Oct 23, 2022
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(a) ab = 24

(b) a + b = 11

(c) (a,b) = (3,8) and (8,3)

 Oct 23, 2022

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