Question

If x4+1/x4=34(x>1), then find the value of x+1/x
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Answer 1

Answer:

correct answer is 2

Step-by-step explanation:

X⁴ + 1/X =34

(X²)² + (1/ X²)² =34

Let take this formula :-

(a+b)² =a²+b² + 2ab

(a+b)² - 2ab = a² + b²

(X² + 1/X²)² - 2 = 34

(X² + 1/X²)² = 34+2

(X² + 1/X²)² = 36

X² + 1/X² = 6

Let take this formula :-

(a-b)² =a²+b² -2ab

(a-b)² + 2ab = a² + b²

( X - 1/X )² + 2 = 6

(X + 1/X)² = 6–2

(X + 1/X )² = 4

X + 1/X = 2 answer

Answer 2

Answer:

√8

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Hope it helped you