Question

x+a/x-a=b-a/b+a
Please answer this_​

Answer 1

Answer:

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Step-by-step explanation:

The given expression is:

\dfrac{x+a}{x-a} =\dfrac{b-a}{b+a}

x−a

x+a

=

b+a

b−a

We have to find, the value of x is:

Solution:

∴ \dfrac{x+a}{x-a} =\dfrac{b-a}{b+a}

x−a

x+a

=

b+a

b−a

By cross-multiplication, we get

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

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

⇒ xb + xa + ab + a^2a

2

= xb - xa - ab + a^2a

2

⇒ xb - xb + xa + xa+ a^2a

2

- a^2a

2

= - ab - ab

⇒ xa + xa = - 2ab

⇒ 2xa = - 2ab

⇒ x = \dfrac{- 2ab}{2a}

2a

−2ab

⇒ x = - b

∴ x = - b

Thus, the value of 'x is equal to - b'.