12x^2+12x-826=0

解

12 x^{2} + 12 x - 826 = 0

x = \frac{- 3 + 2487}{6}, x = - \frac{3 + 2487}{6}

十進法表記

x = 7.81163 \dots, x = - 8.81163 \dots

解答ステップ

12 x^{2} + 12 x - 826 = 0

解くとthe二次式

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 12 ( - 826 )}{2 \cdot 12}

1 2^{2} - 4 \cdot 12 (- 826) = 42487

x_{1, 2} = \frac{- 12 \pm 4 2487}{2 \cdot 12}

解を分離する

x_{1} = \frac{- 12 + 4 2487}{2 \cdot 12}, x_{2} = \frac{- 12 - 4 2487}{2 \cdot 12}

x = \frac{- 12 + 4 2487}{2 \cdot 12} : \frac{- 3 + 2487}{6}

x = \frac{- 12 - 4 2487}{2 \cdot 12} : - \frac{3 + 2487}{6}

二次equationの解:

x = \frac{- 3 + 2487}{6}, x = - \frac{3 + 2487}{6}