could you help me with completing the table for x^2-25=0,x^25<0,x^2-25>0

Question

I am haing trouble with this

Answer 1

I don't know what you want with "completing the table"
You have 3 statements, do you want the solution to each one?

x^2 - 25 = 0 , clearly only true if x = ±5

x^25 < 0 , you probably meant x^2 - 25 < 0
no real number squared can be negative, so there is no solution

x^2 - 25 > 0
x^2 > 25

any real number x, such that
x>5 OR x<-5