Question

1/a+b+x-1/x=1/a+1/b solve for x​

Answer 1

Answer:

1/(a+b+x) - 1/x = 1/a + 1/b

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

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

cancel (a+b) from both sides

-ab = x(a+b+x)

-ab = xa + xb + x^2

x^2 + xa + xb + ab = 0

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

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

x= -a or - b

Answer 2

plz refer to this attachment,,,,,,,,