x^2-sqrt(3)x-2=0

解

x^{2} - 3 x - 2 = 0

x = \frac{3 + 11}{2}, x = \frac{3 - 11}{2}

十進法表記

x = 2.52433 \dots, x = - 0.79228 \dots

解答ステップ

x^{2} - 3 x - 2 = 0

解くとthe二次式

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

(- 3)^{2} - 4 \cdot 1 \cdot (- 2) = 11

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

解を分離する

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

x = \frac{- ( - 3 ) + 11}{2 \cdot 1} : \frac{3 + 11}{2}

x = \frac{- ( - 3 ) - 11}{2 \cdot 1} : \frac{3 - 11}{2}

二次equationの解:

x = \frac{3 + 11}{2}, x = \frac{3 - 11}{2}