Question

x=1/x-5 then x²-1/x²pls answer
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Answer 1

Correct question:

If x = 1/x - 5, then find the value of x² + 1/x²

AnswEr:

value of x² + 1/x² is 27.

ExplanaTion:

Given that,

• x = 1/x - 5

Therefore, x - 1/x = - 5

We know that,

( a - b )² = a² + b² - 2ab

Letting a = x and b = 1/x

=> ( x - 1/x )² = x² + 1/x² - 2

=> (-5)² = x² + 1/x² - 2

=> 25 = x² + 1/x² - 2

=> 25 + 2 = x² + 1/x²

=> x² + 1/x² = 27

Therefore, value of x² + 1/x² is 27.

Answer 2

Answer:

Value of x² + 1/x² is 27.

Explanation:

Given that,

• x = 1/x - 5

Therefore, x = 1/x - 5

We know that,

(a - b)² = a² + b² - 2ab

putting a = x and b = 1/x

(x - 1/x)² = x² + 1/x² - 2

(-5)² = x² + 1/x² - 2

25 = x² + 1/x² - 2

25 + 2 = x² + 1/x²

x² + 1/x² = 27

Therefore, Value of x² + 1/x² is 27.

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