sqrt(6)x^2+4x-2sqrt(6)=0

解

6 x^{2} + 4 x - 26 = 0

x = \frac{2}{3}, x = - 6

十進法表記

x = 0.81649 \dots, x = - 2.44948 \dots

解答ステップ

6 x^{2} + 4 x - 26 = 0

解くとthe二次式

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 6 ( - 2 6 )}{2 6}

4^{2} - 46 (- 26) = 8

x_{1, 2} = \frac{- 4 \pm 8}{2 6}

解を分離する

x_{1} = \frac{- 4 + 8}{2 6}, x_{2} = \frac{- 4 - 8}{2 6}

x = \frac{- 4 + 8}{2 6} : \frac{2}{3}

x = \frac{- 4 - 8}{2 6} : - 6

二次equationの解:

x = \frac{2}{3}, x = - 6