Question

solve for x if 1 by a + b + X equal to 1 by a + 1 by b + 1 by X

Answer 1

Answer:

x= -b,-a

Step-by-step explanation:

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

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

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

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

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

-ab = x^2+ax+bx

x^2 + ax + bx + ab = 0

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

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

x = -b

x = -a