Question

X+2/x-2-x-2/x+2=1-x^2/x^2-4 solve the x

Answer 1

Step-by-step explanation:

Considering x+2=a

Considering x-2=b

a/b-b/a=1-x^2/x^2-4

a^2-b^2/ab=(1-x)(1+x)/(x-2)(x+2)

(x+2)^2-(x-2)^2/(x-2)(x+2)=(1-x)(1+x)/(x-2)(x+2)

(x+2)^2-(x-2)^2=(1-x)(1+x)

x^2+4x+4-x^2+4x-4=1-x^2

8x=1-x^2

x^2+8x-1=0