Question

Which statement is NOT true?

If x = 10, then x2 = 100.
x2 = 100 if and only if x = 10 or x = –10.
If x2 = 100, then x = 10.
If x = –10, then x2 = 100.

Answer 1

If x ^ 2 = 100, then x = 10.

For this case what you should know is the correct clearance of the following equation:

`x ^ 2 = 100`
We then have two possible solutions:

`x=+/- √(100)`
Rewriting we have:

`x=+/-10`
Therefore, the solutions are:

`x1=10 x2=-10`
Answer:
A statement that is NOT true is:
If x^2 = 100, then x = 10.