Math, asked by rndas, 1 year ago

if x^2+ 1/x^2 =7 then find x- 1/x

adityaaryaas: Is the answer root5

rndas: ya

adityaaryaas: Please check the answer. I've uploaded it.

adityaaryaas: Sorry friend but my answer is not uploading

adityaaryaas: I don't know why

rndas: I am also having a similar problem uploading other answers

adityaaryaas: Are you free for a while?

adityaaryaas: Okay, Finally I've uploaded the solution. Please check it and inform if there's any problem.

Answers

Answered by adityaaryaas

Answer:

Step-by-step explanation:

We have

x^2 + 1/x^2 = 7

Subtract 2 from both sides of the equation.

x^2 + 1/x^2 - 2 = 7-2

x^2 + 1/x^2 -2×1 = 5

x^2 + 1/x^2 -2×{(x)×(1/x)} = 5

Remember that

(a^2 + b^2 -2ab) = (a-b)^2.

So, here

(x-1/x)^2 = 5

Taking square root on both sides, we have

x - 1/x = √5

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