sqrt(3)*x^2+10x-8sqrt(3)=0

解

3 \cdot x^{2} + 10 x - 83 = 0

x = \frac{2}{3}, x = - 43

十進法表記

x = 1.15470 \dots, x = - 6.92820 \dots

解答ステップ

3 x^{2} + 10 x - 83 = 0

解くとthe二次式

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 3 ( - 8 3 )}{2 3}

1 0^{2} - 43 (- 83) = 14

x_{1, 2} = \frac{- 10 \pm 14}{2 3}

解を分離する

x_{1} = \frac{- 10 + 14}{2 3}, x_{2} = \frac{- 10 - 14}{2 3}

x = \frac{- 10 + 14}{2 3} : \frac{2}{3}

x = \frac{- 10 - 14}{2 3} : - 43

二次equationの解:

x = \frac{2}{3}, x = - 43