Q:

What are the solution(s) of x2-4-0?OfX=-4 or x = 4O x=-2 or x = 2Ox=2O X=4o

Accepted Solution

A:
Answer:For [tex]x^2 - 4 = 0[/tex], x  = 2, or x = - 2.Step-by-step explanation:Here, the given expression is :[tex]x^2 - 4 = 0[/tex]Now, using the ALGEBRAIC IDENTITY:[tex]a^2 - b^2 = (a-b)(a+b)[/tex]Comparing this with the above expression, we get[tex]x^2 - 4 = 0  = x^2 - (2)^2 = 0\\\implies (x-2)(x+2) = 0[/tex]⇒Either (x-2) = 0 , or ( x + 2) = 0So, if ( x- 2)   = 0 ⇒ x =  2and if ( x + 2) = 0   ⇒ x = -2Hence, for [tex]x^2 - 4 = 0[/tex], x  = 2, or x = - 2.