Question

1/a+1/b+1/x=1/a+b+x
X not equal to zero,-a,-b

Answer 1

1/a+1/b+1/x = 1/a+b+x

=> 1/a+1/b = 1/a+b+x - 1/x

=> a+b/ab = x-a-b-x/(x)(a+b+x)

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

=> 1/ab = -1/ax+bx+x^2

=> ax+bx+x^2 = -ab

=> x^2+ax+bx+ab=0

=> x(x+a)+b(x+a)=0

=>(x+b)(x+a)=0

=>x+b=0 or x+a=0

=> x=-b or x=-a

Pls mark my ans as the brainliest