-16x^2+176x+132=0

解

- 16 x^{2} + 176 x + 132 = 0

x = - \frac{- 11 + 154}{2}, x = \frac{11 + 154}{2}

十進法表記

x = - 0.70483 \dots, x = 11.70483 \dots

解答ステップ

- 16 x^{2} + 176 x + 132 = 0

解くとthe二次式

x_{1, 2} = \frac{- 176 \pm 17 6 ^{2} - 4 ( - 16 ) \cdot 132}{2 ( - 16 )}

17 6^{2} - 4 (- 16) \cdot 132 = 16154

x_{1, 2} = \frac{- 176 \pm 16 154}{2 ( - 16 )}

解を分離する

x_{1} = \frac{- 176 + 16 154}{2 ( - 16 )}, x_{2} = \frac{- 176 - 16 154}{2 ( - 16 )}

x = \frac{- 176 + 16 154}{2 ( - 16 )} : - \frac{- 11 + 154}{2}

x = \frac{- 176 - 16 154}{2 ( - 16 )} : \frac{11 + 154}{2}

二次equationの解:

x = - \frac{- 11 + 154}{2}, x = \frac{11 + 154}{2}