Question

Find the value of x?

Answer 1

1/[a+b+x] =1/a  +  1/b   +1/x

1/a+b+x   -  1/x     =   1/a    1/b

x-a-b-x/(a+b+x)(x)  = [b+a]/ab

-[a+b]/ax+bx+x squared = a+b/ab

a+b will cancel

-ab = x squared + ax+ bx

x square +ax +bx+ab  = 0

x[x+a] +b [x+a] =0

[x+b] [x+a] =0

x= -a        x = -b