Question

Solve by factoring and i need the steps too !!

Answer 1

Answer:

$x_1 = -8\\\\x_2 = 8$

Step-by-step explanation:

To solve this problem use the formula "Difference of squares":

$(a + b) (a-b) = a ^2 -b ^ 2$

In this problem we have the following equation

$x ^ 2 -64 = 0$

This we can write it in the following way

$x ^ 2 - 8 ^ 2 = 0$

Then if a = x and b = 8 then:

$x ^ 2 - 8 ^ 2 = (x+8)(x-8) = 0$

Then the product of both factors is equal to zero when:

$x+8 = 0\\\\x =-8$

Or

$x -8 = 0\\\\x =8$