12x^2-216x+665=0

解

12 x^{2} - 216 x + 665 = 0

x = \frac{54 + 921}{6}, x = \frac{54 - 921}{6}

十進法表記

x = 14.05799 \dots, x = 3.94200 \dots

解答ステップ

12 x^{2} - 216 x + 665 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 216 ) \pm ( - 216 ) ^{2} - 4 \cdot 12 \cdot 665}{2 \cdot 12}

(- 216)^{2} - 4 \cdot 12 \cdot 665 = 4921

x_{1, 2} = \frac{- ( - 216 ) \pm 4 921}{2 \cdot 12}

解を分離する

x_{1} = \frac{- ( - 216 ) + 4 921}{2 \cdot 12}, x_{2} = \frac{- ( - 216 ) - 4 921}{2 \cdot 12}

x = \frac{- ( - 216 ) + 4 921}{2 \cdot 12} : \frac{54 + 921}{6}

x = \frac{- ( - 216 ) - 4 921}{2 \cdot 12} : \frac{54 - 921}{6}

二次equationの解:

x = \frac{54 + 921}{6}, x = \frac{54 - 921}{6}