Question 362913
<pre>
You did just fine:

The zeros are 0 and {{{"" +- sqrt(3)}}}

The graph is 

{{{graph(240,400,-3,3,-5,5,x^5-6x^3 + 9x)}}}

You can see it has double zeros at {{{"" +- sqrt(3)}}}, about ±1.7,
and a single zero at 0.

Edwin</pre>