{{a_{3}}^{3}-4a_{2}a_{3}a_{4}+8a_{1}{a_{4}}^{2}}{8{a_{4}}^{3}}}\\r&={\frac {-3b^{4}+256e-64bd+16b^{2}c}{256}}={\frac {-3{a_{3}}^{4}+256a_{0}{a_{4}}^{3}-64a_{1}a_...

250d–252b Phaedrus 253d–254e Phaedrus 255e–256b Phaedrus 256b–e Phaedrus 256e–257c Phaedrus 258d Phaedrus 260a Phaedrus 260d Phaedrus 260e Phaedrus 263b...

{\begin{aligned}{}&16c^{4}e-4c^{3}d^{2}-128c^{2}e^{2}+144cd^{2}e-27d^{4}+256e^{3}\,.\end{aligned}}} The discriminant is zero if and only if at least two...