solvefor x,3x^2+6x+1=0

解

x, 3 x^{2} + 6 x + 1 = 0

x = \frac{- 3 + 6}{3}, x = - \frac{3 + 6}{3}

十進法表記

x = - 0.18350 \dots, x = - 1.81649 \dots

解答ステップ

3 x^{2} + 6 x + 1 = 0

解くとthe二次式

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 3 \cdot 1}{2 \cdot 3}

6^{2} - 4 \cdot 3 \cdot 1 = 26

x_{1, 2} = \frac{- 6 \pm 2 6}{2 \cdot 3}

解を分離する

x_{1} = \frac{- 6 + 2 6}{2 \cdot 3}, x_{2} = \frac{- 6 - 2 6}{2 \cdot 3}

x = \frac{- 6 + 2 6}{2 \cdot 3} : \frac{- 3 + 6}{3}

x = \frac{- 6 - 2 6}{2 \cdot 3} : - \frac{3 + 6}{3}

二次equationの解:

x = \frac{- 3 + 6}{3}, x = - \frac{3 + 6}{3}