Let x be a non-zero real number such that (x³+20x)^1/5=(x⁵-20x)^1/3. Find the product of all possible values of x.

(In reply to A long way by Jer)

if I err- I apologize.

My intuition objects to existence of morev than 5 solutions:

x^2 =  -4, 0,  5.

Please check whether =0.0024990669i fits the original set of equations or only some ot the interim polynomial expressions.

Btw, one cannot "compare" two complex numbers.

Posted by Ady TZIDON on 2014-02-24 06:39:44