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人気のある代数 >

x^2+1/3 x+2=0

解

x^{2} + \frac{1}{3} x + 2 = 0

解

x = - \frac{1}{6} + i \frac{71}{6}, x = - \frac{1}{6} - i \frac{71}{6}

解答ステップ

x^{2} + \frac{1}{3} x + 2 = 0

以下で両辺を乗じる:

3

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

解くとthe二次式

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

簡素化

1^{2} - 4 \cdot 3 \cdot 6 : 71 i

x_{1, 2} = \frac{- 1 \pm 71 i}{2 \cdot 3}

解を分離する

x_{1} = \frac{- 1 + 71 i}{2 \cdot 3}, x_{2} = \frac{- 1 - 71 i}{2 \cdot 3}

x = \frac{- 1 + 71 i}{2 \cdot 3} : - \frac{1}{6} + i \frac{71}{6}

x = \frac{- 1 - 71 i}{2 \cdot 3} : - \frac{1}{6} - i \frac{71}{6}

二次equationの解:

x = - \frac{1}{6} + i \frac{71}{6}, x = - \frac{1}{6} - i \frac{71}{6}

グラフ

人気の例

(x + 5)^{2} - 81 = 0

25 x^{2} - 80 x + 64 = 0

0 = 2 x^{2} - x - 6

a(x+5)=x^2+3x-10

a (x + 5) = x^{2} + 3 x - 10

2 x^{2} - 3 = 29