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人気のある代数 >

-5x^2+12x-8=0

解

- 5 x^{2} + 12 x - 8 = 0

解

x = \frac{6}{5} - i \frac{2}{5}, x = \frac{6}{5} + i \frac{2}{5}

解答ステップ

- 5 x^{2} + 12 x - 8 = 0

解くとthe二次式

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 ( - 5 ) ( - 8 )}{2 ( - 5 )}

簡素化

1 2^{2} - 4 (- 5) (- 8) : 4 i

x_{1, 2} = \frac{- 12 \pm 4 i}{2 ( - 5 )}

解を分離する

x_{1} = \frac{- 12 + 4 i}{2 ( - 5 )}, x_{2} = \frac{- 12 - 4 i}{2 ( - 5 )}

x = \frac{- 12 + 4 i}{2 ( - 5 )} : \frac{6}{5} - i \frac{2}{5}

x = \frac{- 12 - 4 i}{2 ( - 5 )} : \frac{6}{5} + i \frac{2}{5}

二次equationの解:

x = \frac{6}{5} - i \frac{2}{5}, x = \frac{6}{5} + i \frac{2}{5}

グラフ

人気の例

4 x^{2} = - 3 x

2 x^{2} + 7 x - 30 = 0

2 x (3 - x) = 3

- x^{2} - 7 x = 0

-2x(x-1)=x^2-5x

- 2 x (x - 1) = x^{2} - 5 x