Question

Excercise 7A
x-2/x-4=x+4/x-2

Answer 1

`x=5`

Explanation:

We are given

`(x-2)/(x-4) =(x+4)/(x-2)`

Since, we have to solve for x

so, we will try to get rid of x on any one side

We can cross multiply both sides

`(x-2)* (x-2)=(x-4)* (x+4)`

now, we can simplify it

`x^2-4x+4=x^2-16`

Subtract both sides by x^2

`x^2-4x+4-x^2=x^2-16-x^2`

`-4x+4=-16`

Subtract both sides by 4

`-4x+4-4=-16-4`

`-4x=-20`

Divide both sides by -4

and we get

`x=5`