x^2+2sqrt(3)x-1=0

解

x^{2} + 23 x - 1 = 0

x = - 3 + 2, x = - 2 - 3

十進法表記

x = 0.26794 \dots, x = - 3.73205 \dots

解答ステップ

x^{2} + 23 x - 1 = 0

解くとthe二次式

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

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

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

解を分離する

x_{1} = \frac{- 2 3 + 4}{2 \cdot 1}, x_{2} = \frac{- 2 3 - 4}{2 \cdot 1}

x = \frac{- 2 3 + 4}{2 \cdot 1} : - 3 + 2

x = \frac{- 2 3 - 4}{2 \cdot 1} : - 2 - 3

二次equationの解:

x = - 3 + 2, x = - 2 - 3