theorem :: POLYEQ_4:7

for x, a, b, c being Real
for n being Element of NAT st a <> 0 & n is odd & delta (a,b,c) >= 0 & Polynom (a,b,c,(x |^ n)) = 0 & not x = n -root (((- b) + (sqrt (delta (a,b,c)))) / (2 * a)) holds
x = n -root (((- b) - (sqrt (delta (a,b,c)))) / (2 * a))