Question

Solve: (x - 3)/(x - 4) + (x - 6)/(x - 7) = (x - 5)/(x - 6) + (x - 4)/(x - 5)​

Answer 1

Answer:

Given equation:

(x−3)(x+6)(x+2)(x−5)=x+4x−2

⇒(x+2)(x−5)(x+4)−(x−2)(x−3)(x+6)

⇒(x3+x2−22x−40)−(x3+x2−24x+36)=0

⇒2x−76=0

⇒x=38

So, the equation has only one root.