I need help ASAP PLEASE! Determine whether this statement is true or false. If the statement is false, give a counterexample.
Statement: A number cannot have a value equal to its square.

Only numbers we can think of would be 0 and 1,where cube of the numbers would be equal to the number itself.

Step-by-step explanation:

But in the case of positive numbers the constraints of the question can never be met. So, we'll have to use negative numbers as

(-ve number) ^ (even number) is always a postive number and (-ve number)^(odd number) is always a negative number.

Eg:- (-2)^3= -2 *-2 *-2= -8

(-2)^2= 4

Since, negative sign can never be associated with 0. Eliminate 0 as a possible answer.

Only option left is -1. Lets test if -1 is correct or not.

(-1)^3= -1*-1*-1= -1 i.e the number itself.

(-1)^2=-1*-1=1 which isn't equal to -1.

Therefore, -1 is the solution to this problem.

i get you, what you should do is think of the positive things that would come out of it. it will make yours parents proud and raise your grade. you should always try and if you can't focus tell the teacher.