2sqrt(7)x^2+19x-3sqrt(7)=0

解

27 x^{2} + 19 x - 37 = 0

x = \frac{1}{7}, x = - \frac{3 7}{2}

十進法表記

x = 0.37796 \dots, x = - 3.96862 \dots

解答ステップ

27 x^{2} + 19 x - 37 = 0

解くとthe二次式

x_{1, 2} = \frac{- 19 \pm 1 9 ^{2} - 4 \cdot 2 7 ( - 3 7 )}{2 \cdot 2 7}

1 9^{2} - 4 \cdot 27 (- 37) = 23

x_{1, 2} = \frac{- 19 \pm 23}{2 \cdot 2 7}

解を分離する

x_{1} = \frac{- 19 + 23}{2 \cdot 2 7}, x_{2} = \frac{- 19 - 23}{2 \cdot 2 7}

x = \frac{- 19 + 23}{2 \cdot 2 7} : \frac{1}{7}

x = \frac{- 19 - 23}{2 \cdot 2 7} : - \frac{3 7}{2}

二次equationの解:

x = \frac{1}{7}, x = - \frac{3 7}{2}