五次方程式
今、
r 0 = ( α ∞ − α 0 ) ( α 1 − α 4 ) ( α 2 − α 3 ) κ 4 ( τ ) r 1 = ( α ∞ − α 1 ) ( α 2 − α 0 ) ( α 3 − α 4 ) κ 4 ( τ ) r 2 = ( α ∞ − α 2 ) ( α 1 − α 3 ) ( α 0 − α 4 ) κ 4 ( τ ) r 3 = ( α ∞ − α 3 ) ( α 2 − α 4 ) ( α 1 − α 0 ) κ 4 ( τ ) r 4 = ( α ∞ − α 4 ) ( α 0 − α 3 ) ( α 1 − α 2 ) κ 4 ( τ ) {\displaystyle {\begin{aligned}r_{0}&=(\alpha _{\infty }-\alpha _{0})(\alpha _{1}-\alpha _{4})(\alpha _{2}-\alpha _{3}){\sqrt[{4}]{\kappa }}(\tau )\\r_{1}&=(\alpha _{\infty }-\alpha _{1})(\alpha _{2}-\alpha _{0})(\alpha _{3}-\alpha _{4}){\sqrt[{4}]{\kappa }}(\tau )\\r_{2}&=(\alpha _{\infty }-\alpha _{2})(\alpha _{1}-\alpha _{3})(\alpha _{0}-\alpha _{4}){\sqrt[{4}]{\kappa }}(\tau )\\r_{3}&=(\alpha _{\infty }-\alpha _{3})(\alpha _{2}-\alpha _{4})(\alpha _{1}-\alpha _{0}){\sqrt[{4}]{\kappa }}(\tau )\\r_{4}&=(\alpha _{\infty }-\alpha _{4})(\alpha _{0}-\alpha _{3})(\alpha _{1}-\alpha _{2}){\sqrt[{4}]{\kappa }}(\tau )\end{aligned}}}