Find the solutions to the equation below.

Check all that apply.

25x2 - 100 = 0

x = - 2, 2

Step-by-step explanation:

this one is easy since we can just use squres to factor

(5x - 10) (5x + 10)

we want one positive one and one negative one since there is no middle term.

so basically we finde the solution by setting each part of the binomial = to zero

like this

5x - 10 = 0

+ 10 + 10

5x = 10

divide by 5 on both sides of the equal sign

x = 2

and

5x + 10 = 0

-10 - 10

5x = - 10

divide by 5 on both sides of the equal sign

x = - 2

therefore the solutions (AKA the zeroes) are x = - 2, 2