How to solve the following equation
$$ a*x^c+b*x^d-S==0 $$ for $x$.
Wolfram alpha and sympy are not able to solve this.
Any suggestions?
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Maybe a symbolic solution doesn't exist. – Dr. Sonnhard Graubner Sep 25 '19 at 11:39
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Can I test somehow if there is a closed form solution at all? And if there isn't can I predict how many numerical solutions I can expect for given a,b,c,d,S? – OD IUM Sep 25 '19 at 11:40
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For some examples sure,$$c=2,d=3$$ – Dr. Sonnhard Graubner Sep 25 '19 at 11:41