Question

If x/b + b/x = a/b + b/a the roots of the equation are​

Answer 1

Answer:

(x+b)/(a-b) = (x-b)/(a+b).

or (x+b)/(x-b) = (a-b)/(a+b) .

Apply componendo and dividendo .

(x+b+x-b)/(x+b-x+b) =(a-b+a+b) /(a-b-a-b).

2x/2b = 2a/-2b .

or x/b =-a/b.

or x = - a . Answer.

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 · Answer requested by Aparna C

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Gaurav Kumar Kukreja, former SEO Executive at Self-Employment (2016-2018)

Answered May 29, 2018

(X+b)/(a-b)=(x-b)/(a+b)

(x+b)(a+b)=(a-b)(x-b)

ax+bx+ab+b² = ax-ab-bx+b²

bx+ab = -ab-bx

2bx= -2ab

x= -a

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