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

Answer: 2

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About mvtrinh

Retired high school math teacher.
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