Gabriel was asked to solve x2−36=0

by factoring using the difference of squares pattern. What is/are the correct solution(s)?(1 point)
Responses

x=6
, x=−6
x equals 6 , x equals negative 6

x=−6
x equals negative 6

x=18
, x=−18
x equals 18 , x equals negative 18

x=6
x equals 6

1 answer

To solve the equation x236=0 by factoring using the difference of squares pattern, we recognize that 36 is a perfect square:

The equation can be factored as follows:

x236=(x6)(x+6)=0

Setting each factor to zero gives us the solutions:

x6=0x=6 x+6=0x=6

Thus, the correct solutions are:

x = 6, x = -6 or x equals 6, x equals negative 6.

So, the correct response from the options provided would be:

x=6, x=−6 or x equals 6, x equals negative 6.