if x^3+(1/x^3)=110, then x+(1/x)=
can someone explain this easily?
Answers
Answered by
1
Answer:
X³ + 1/x³ = 110
(x + 1/x)³ - 3(x + 1/x) = 110
x + 1/x = k let
k³ - 3k - 110 = 0
k(k² - 3) = 110
k(k² - 3) = 5(5² - 3)
so k = 5 ANSWER
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Answered by
1
Step-by-step explanation:
X^3 +1/x^3 =110
(x+1/x^3) - 3(x+1/x) = 110
x+1/x = k (let)
k^3 - 3k - 110 = 0
k(k^2-3) = 110
k(k^2 - 3) = 110
k(k^2 - 3) = 5(5^2-3)
So k = 5 ANSWER.
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