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Let a and b be real numbers such that a + b = 4 and a^4 + b^4 = 62

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

 Feb 10, 2023
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a = 2 - sqrt(sqrt(159) - 12) and  b = 2 + sqrt(sqrt(159) - 12)    [Real
a = 2 + sqrt(sqrt(159) - 12) and  b = 2 - sqrt(sqrt(159) - 12)    [Real

 

a = 2 - i sqrt(12 + sqrt(159)) and  b = 2 + i sqrt(12 + sqrt(159))   [Imaginary
a = 2 + i sqrt(12 + sqrt(159)) and  b = 2 - i sqrt(12 + sqrt(159))   [Imaginary

 Feb 11, 2023

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