Question

Find the solution(s) for x in the equation below. x^2 - 25 = 0

Answer 1

x=5

x=−5

Explanation:

x^2−25=0

Consider x^2 −25.

Rewrite x^2−25 as x^2−5 ^2

The difference of squares can be factored using the rule:

a^2−b^2 =(a−b)(a+b).

(x−5)(x+5)=0

To find equation solutions, solve x−5=0 and x+5=0.

x=5

x=−5