-16x^2+144x+108=0

解

- 16 x^{2} + 144 x + 108 = 0

x = - \frac{3 ( 2 3 - 3 )}{2}, x = \frac{3 ( 3 + 2 3 )}{2}

十進法表記

x = - 0.69615 \dots, x = 9.69615 \dots

解答ステップ

- 16 x^{2} + 144 x + 108 = 0

解くとthe二次式

x_{1, 2} = \frac{- 144 \pm 14 4 ^{2} - 4 ( - 16 ) \cdot 108}{2 ( - 16 )}

14 4^{2} - 4 (- 16) \cdot 108 = 963

x_{1, 2} = \frac{- 144 \pm 96 3}{2 ( - 16 )}

解を分離する

x_{1} = \frac{- 144 + 96 3}{2 ( - 16 )}, x_{2} = \frac{- 144 - 96 3}{2 ( - 16 )}

x = \frac{- 144 + 96 3}{2 ( - 16 )} : - \frac{3 ( 2 3 - 3 )}{2}

x = \frac{- 144 - 96 3}{2 ( - 16 )} : \frac{3 ( 3 + 2 3 )}{2}

二次equationの解:

x = - \frac{3 ( 2 3 - 3 )}{2}, x = \frac{3 ( 3 + 2 3 )}{2}