Solve the following quadratic equations by factorization: `(x-a)/(x-b)+(x-b)/(x-a)=a/b+b/a`

Explanation

Given,

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

`=>((x-a)(x-a)+(x-b)(x-b))/((x-b)(x-a))=(a^2+b^2)/(ba)`

`=>((x-a)^2+(x-b)^2)/((x-b)(x-a))=(a^2+b^2)/(ba)`


`=>((x^2-2ax+a^2+x^2-2bx+b^2)/(x^2-(a+b)x-ab)=(a^2+b^2)/(ba)`



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