Question

Resolver x

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

Answer 1

Resolver x

1/x+a + 1/x+b = 1/x
(x^2+xb)+(x^2+xa) =x (x^2+xb+xa+ab)
(x^2+xb)+(x^2+xa) — (x^2+xb+xa+ab) = 0
2x^2 —x^2 + xb — xb + xa — xa — ab = 0
x^2 — ab = 0
x = raíz (ab)
MCD : (x+a); (x+b); x