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This is important

 

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

 Jan 29, 2023
 #1
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Use substitution to get:

 

a≈1.21928  and b≈2.78072                     [Real
a≈2.78072  and b≈1.21928                     [Real


a≈2 - 4.9608 i  and  b≈2 + 4.9608 i        [Imaginary
a≈2 + 4.9608 i  and  b≈2 - 4.9608 i        [Imaginary

 Jan 29, 2023

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