What are the solutions to the equation x² = 256?

select each correct answer.

(options)

−128

−16

16

128

ANSWER



EXPLANATION

We can use two different methods to solve this question.

Method 1: Square Root Method

We have,



We take the plus or minus square root of both sides to obtain,



This implies that;



We split the plus or minus sign to obtain,



Method 2: Factorization Method



We equate everything to zero.





We apply difference of two squares