Math Contest #17 Results and Solution
Solution
The problem of this contest was:
This equation can be factored to:
n⁸ × (4n² - 2n - 1) = 0
→ n = 0
OR (4n² - 2n - 1) = 0
As @mobi72 discovered you can use the quadratic formula on the right one and get:
n = 0
OR n = -¼ ±√(1/16 + 1/4) = -¼ ±√(5/16) = (-1 ±√5)/4
↓
(0)
, ((-1 +√5)/4)
, ((-1 -√5)/4)
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List of participants with their entries:
Name | solutions found | comment |
---|---|---|
@sparkesy43 | n = 0 | As always going for the trivial solution only… |
@mobi72 | all 3 | |
@zuerich | all 3 |
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Winner draw:
Congratulations @sparkesy43 you won 1 SBI!
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Congrats @sparkesy43
I got as far as n-1=1/(2n) and then got distracted with life.
Hi @quantumdeveloper, a small upvote and a tip.
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