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人気のある代数 >

x=3x^2+6

解

x = 3 x^{2} + 6

解

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

解答ステップ

x = 3 x^{2} + 6

辺を交換する

3 x^{2} + 6 = x

x

を左側に移動します

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

標準的な形式で書く

a x^{2} + b x + c = 0

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

(2 w + 5) w = 63

3 x^{2} + 14 x + 3 = 0

20 x^{2} + 17 x + 5 = 0

4 = 3 x^{2} - 4 x + 5

12 x - 12 x^{2} = 0