Question

(x/x+1)^2-5 (x/x+1) +6 = 0,​

Answer 1

Answer:

x= -2,-3/2

Step-by-step explanation:

Let x/x+1 =a

Then the equation will become :

a²-5a+6=0

Factorisation by Splitting the middle term:

a²-3a-2a+6=0

a(a-3)-2(a-3)=0

(a-3) . (a-2)  =0

∴ a=2,3

x/x+1=2   ,   x/x+1=3

Solving both the equations we get:

x= -2 , -3/2