The questions goes as
The set of all real numbers $x$ such that $\sqrt{x^2} = -x$ consists of
a. Zero only
b. Nonpositive real numbers only
c. positive real numbers only
d. all real numbers
e. no real numbers
I chose b but I don't completely understand. I learned that the term "nonpositive real numbers" means that $0$ is included with all the numbers to negative infinity. I know that all positive real numbers have two square roots. Can someone explain this to me please?
Best Answer
You have $\sqrt{x^2} = |x|$. Now the answer becomes clear.