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

(45,(x-a)/(x-b)+(x-b)/(x-a)=(a)/(b)+(b)/(a)

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Solve the equations : (x-a)/(x-b)+(x-b)/(x-a)=(a)/(b)+(b)/(a)

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(x)/(b)-(a)/(b)+(x)/(a)-(b)/(a)=2

On simplification [(x^((a)/(a-b)))/(x^((a)/(a+b)))-:(x^((b)/(b-a)))/(x^((b)/(b+a)))]^(a+b) reduces to