Question

If x2
+ 1/x2
= 83 , find x – 1/x

Answer 1

Step-by-step explanation:

SO ANS IS 756

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Answer 2

Answer:

Question :-

If x²+1/x² = 83, find x-1x

Solution :-

⇒ (x-1/x)² = 83-2

⇒ x-1/x = √81

⇒ x-1/x = 9

⇒ (x-1/x)³ = x³-3x+3/x-1/x³

As we know that x-1/x = 9 so, therefore we will do the cube of 9.

⇒ (9)³ = x³-3x+3/x-1/x³

⇒ 729+3x-1/x = x³-1/x³

⇒ x³-1/x³ = 729+3 (x-1/x)

∴ x-1/x = 729-(3)³

⇒ x-1/x = 729-27

⇒ x-1/x = 702

Hence, x-1/x = 702

Step-by-step explanation:

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