12x^2-196x+468=0

解

12 x^{2} - 196 x + 468 = 0

x = \frac{49 + 997}{6}, x = \frac{49 - 997}{6}

十進法表記

x = 13.42921 \dots, x = 2.90411 \dots

解答ステップ

12 x^{2} - 196 x + 468 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 196 ) \pm ( - 196 ) ^{2} - 4 \cdot 12 \cdot 468}{2 \cdot 12}

(- 196)^{2} - 4 \cdot 12 \cdot 468 = 4997

x_{1, 2} = \frac{- ( - 196 ) \pm 4 997}{2 \cdot 12}

解を分離する

x_{1} = \frac{- ( - 196 ) + 4 997}{2 \cdot 12}, x_{2} = \frac{- ( - 196 ) - 4 997}{2 \cdot 12}

x = \frac{- ( - 196 ) + 4 997}{2 \cdot 12} : \frac{49 + 997}{6}

x = \frac{- ( - 196 ) - 4 997}{2 \cdot 12} : \frac{49 - 997}{6}

二次equationの解:

x = \frac{49 + 997}{6}, x = \frac{49 - 997}{6}