If x² + 1/x² = 7 , find the value of x³ + 1/x³
Answers
Answered by
99
Answer:
18
Step-by-step explanation:
Given Equation is x² + (1/x²) = 7.
It can be written as,
⇒ x² + (1/x²) = 9 - 2
⇒ x² + (1/x²) + 2 = 9
⇒ (x + 1/x)² = 9
⇒ x + 1/x = 3.
On cubing both sides, we get
⇒ (x + 1/x)³ = (3)³
⇒ x³ + 1/x³ + 3(x + 1/x) = 27
⇒ x³ + 1/x³ + 3(3) = 27
⇒ x³ + 1/x³ + 9 = 27
⇒ x³ + 1/x³ = 18.
Hope it helps!
BloomingBud:
Thank you so much bro
Answered by
25
Question :
If , find the value of
Solution :
∀ x ∈ N
Cubing on both sides ,
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