## Square Root Function

How many positive real numbers $x$ are solutions to $\sqrt{x}=|x^4-1|$?
Source: NCTM Mathematics Teacher, November 2006

SOLUTION
The graphs of the two functions $y=\sqrt{x}$ and $y=|x^4-1|$ show two intersection points

There are two solutions to $\sqrt{x}=|x^4-1|$.

Answer: $2$