theorem :: POLYEQ_2:1

for a, c, e, x being Real st a <> 0 & e <> 0 & (c ^2) - ((4 * a) * e) > 0 & Polynom (a,0,c,0,e,x) = 0 holds
( x <> 0 & ( x = sqrt (((- c) + (sqrt (delta (a,c,e)))) / (2 * a)) or x = sqrt (((- c) - (sqrt (delta (a,c,e)))) / (2 * a)) or x = - (sqrt (((- c) + (sqrt (delta (a,c,e)))) / (2 * a))) or x = - (sqrt (((- c) - (sqrt (delta (a,c,e)))) / (2 * a))) ) )