SOLUTION: x = (16 - 8√5)^(1/3) + (16 + 8√5)^(1/3)
A = x³ + 12x - 31
Find A²⁰²⁵
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Question 1209541: x = (16 - 8√5)^(1/3) + (16 + 8√5)^(1/3)
A = x³ + 12x - 31
Find A²⁰²⁵
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
If and are to be simple expressions, then each of them needs to be of the form .
We need to have and
By inspection, these equations are satisfied when a=b=1. So
Then
And finally
ANSWER: 1
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