Question 1013852
<pre>
Another way to get both solutions is this:

{{{matrix(2,3,"","","",
(z+4)^(4/5),""="",2)}}}

Raise both sides to the 5th power

{{{matrix(2,3,"","","",
((z+4)^(4/5))^5,""="",2^5)}}}

Multiply exponents

{{{matrix(2,3,"","","",
(z+4)^4,""="",32)}}}

Use the principle of even roots (fourth root):

{{{matrix(2,3,"","","",
z+4,""="","" +- root(4,32))}}}

{{{matrix(2,3,"","","",
z+4,""="","" +- root(4,16*2))}}}

{{{matrix(2,3,"","","",
z+4,""="","" +- 2*root(4,2))}}}

{{{matrix(2,3,"","","",
z,""="",-4 +- 2*root(4,2))}}}

That way you get both solutions.

Edwin</pre>