# What is the number of solutions of the equation #abs(x^2-2)=absx#?

##### 2 Answers

Dec 27, 2016

#### Explanation:

So there are 4 possible solutions:

Dec 27, 2016

Graph reveals solutions

#### Explanation:

The graphs

So, these are the solutions of

Of course, algebraically, these solutions can be obtained, using

piecewise definitions, sans

Note of caution: In general, graphical solutions are approximations

only.

graph{(y-|x|)(y-|x^2-2|)=0x^2 [-5, 5, -2.5, 2.5]}