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人気のある代数 >

x(5-4x)=6

解

x (5 - 4 x) = 6

解

x = \frac{5}{8} - i \frac{71}{8}, x = \frac{5}{8} + i \frac{71}{8}

解答ステップ

x (5 - 4 x) = 6

拡張

x (5 - 4 x) : 5 x - 4 x^{2}

5 x - 4 x^{2} = 6

6

を左側に移動します

5 x - 4 x^{2} - 6 = 0

標準的な形式で書く

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

- 4 x^{2} + 5 x - 6 = 0

解くとthe二次式

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 ( - 4 ) ( - 6 )}{2 ( - 4 )}

簡素化

5^{2} - 4 (- 4) (- 6) : 71 i

x_{1, 2} = \frac{- 5 \pm 71 i}{2 ( - 4 )}

解を分離する

x_{1} = \frac{- 5 + 71 i}{2 ( - 4 )}, x_{2} = \frac{- 5 - 71 i}{2 ( - 4 )}

x = \frac{- 5 + 71 i}{2 ( - 4 )} : \frac{5}{8} - i \frac{71}{8}

x = \frac{- 5 - 71 i}{2 ( - 4 )} : \frac{5}{8} + i \frac{71}{8}

二次equationの解:

x = \frac{5}{8} - i \frac{71}{8}, x = \frac{5}{8} + i \frac{71}{8}

グラフ

人気の例

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

x^{2} + 9 = 16

8 a^{2} = 17 a

x^{2} - 9 x + \frac{81}{4} = 0

a^{2} - 16 = 32