4sqrt(3)*x^2-5x-2sqrt(3)=0

解

43 \cdot x^{2} - 5 x - 23 = 0

x = \frac{2}{3}, x = - \frac{3}{4}

十進法表記

x = 1.15470 \dots, x = - 0.43301 \dots

解答ステップ

43 x^{2} - 5 x - 23 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 4 3 ( - 2 3 )}{2 \cdot 4 3}

(- 5)^{2} - 4 \cdot 43 (- 23) = 11

x_{1, 2} = \frac{- ( - 5 ) \pm 11}{2 \cdot 4 3}

解を分離する

x_{1} = \frac{- ( - 5 ) + 11}{2 \cdot 4 3}, x_{2} = \frac{- ( - 5 ) - 11}{2 \cdot 4 3}

x = \frac{- ( - 5 ) + 11}{2 \cdot 4 3} : \frac{2}{3}

x = \frac{- ( - 5 ) - 11}{2 \cdot 4 3} : - \frac{3}{4}

二次equationの解:

x = \frac{2}{3}, x = - \frac{3}{4}