Question

If x+1/x = root5, find the value of x-1/x and x²-1/x².
Ans is: +-1,+-5 show the solution

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Answer 1

Step-by-step explanation:

if x+1/x=√5

then, x-1/x = x^2-1/x^2=3-2=1

Given :

( x + 1 /x ) = √5

We need to find x2 + 1 / x2

( x + 1 / x )2 = 5

= x2 + 1 / x2 + 2 (x)(1/x) = 5

= x2 + 1/x2 + 2 = 5

= x2 + 1 / x2 = 5 – 2

= x2 + 1 / x2=3

Hence x2  + 1 / x2 = 3

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Answer 2

Answer:

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