For
, x  = 2, or x = - 2.
Step-by-step explanation:
Here, the given expression is :
![x^2 - 4 = 0](/tpl/images/0401/3283/a737c.png)
Now, using the ALGEBRAIC IDENTITY:
![a^2 - b^2 = (a-b)(a+b)](/tpl/images/0401/3283/6f047.png)
Comparing this with the above expression, we get
![x^2 - 4 = 0 = x^2 - (2)^2 = 0\\\implies (x-2)(x+2) = 0](/tpl/images/0401/3283/2a068.png)
⇒Either (x-2) = 0 , or ( x + 2) = 0
So, if ( x- 2)  = 0 ⇒ x =  2
and if ( x + 2) = 0  ⇒ x = -2
Hence, for
, x  = 2, or x = - 2.