Question

solve for X 1 by a + b + X is equals to 1 by a + 1 by b + 1 by X​

Answer 1

Step-by-step explanation:

solve for x : 1/a+b+x = 1/a + 1/b +1/x

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

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

cancelling a+b and a+b on both sides

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

x^2+xa+xb+ab=0

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

x=-b/-a

thank you.