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:
 $x=+/- \sqrt{100}$
 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.