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人気のある代数 >

-4x^2+x-1=0

解

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

解

x = \frac{1}{8} - i \frac{15}{8}, x = \frac{1}{8} + i \frac{15}{8}

解答ステップ

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

解くとthe二次式

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

簡素化

1^{2} - 4 (- 4) (- 1) : 15 i

x_{1, 2} = \frac{- 1 \pm 15 i}{2 ( - 4 )}

解を分離する

x_{1} = \frac{- 1 + 15 i}{2 ( - 4 )}, x_{2} = \frac{- 1 - 15 i}{2 ( - 4 )}

x = \frac{- 1 + 15 i}{2 ( - 4 )} : \frac{1}{8} - i \frac{15}{8}

x = \frac{- 1 - 15 i}{2 ( - 4 )} : \frac{1}{8} + i \frac{15}{8}

二次equationの解:

x = \frac{1}{8} - i \frac{15}{8}, x = \frac{1}{8} + i \frac{15}{8}

グラフ

人気の例

8 x^{2} - 20 x = 0

-23/40 x^2+1/2 x+10=0

- \frac{23}{40} x^{2} + \frac{1}{2} x + 10 = 0

8 z^{2} - 9 z + 16 = 0

- 6 m^{2} = 48

(x - 1)^{2} = - 7