Answer:
[tex]x_1 = -8\\\\x_2 = 8[/tex]
Step-by-step explanation:
To solve this problem use the formula "Difference of squares":
[tex](a + b) (a-b) = a ^2 -b ^ 2[/tex]
In this problem we have the following equation
[tex]x ^ 2 -64 = 0[/tex]
This we can write it in the following way
[tex]x ^ 2 - 8 ^ 2 = 0[/tex]
Then if a = x and b = 8 then:
[tex]x ^ 2 - 8 ^ 2 = (x+8)(x-8) = 0[/tex]
Then the product of both factors is equal to zero when:
[tex]x+8 = 0\\\\x =-8[/tex]
Or
[tex]x -8 = 0\\\\x =8[/tex]
