Question

If x2 + 1/x2 = 27 , find the value of x-1/x

Answer 1

Solution:

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We know that,

a²-2ab+b² = (a-b)²

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x² + 1/x² = 27 [ given ]

=> x² +1/x² -2*x*(1/x) = 27--2*x*(1/x)

=> (x-1/x)² = 27 -2

=> (x-1/x)² = 25

=> x - 1/x = ±√25

=> x-1/x = ± 5

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Answer 2

Hey!

Refer the below attachment !

Thanks !