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人気のある代数 >

a^{12}x+4x=-3x^2+x-5

解

a^{12} x + 4 x = - 3 x^{2} + x - 5

解

x = - \frac{3 + a ^{12} + a ^{24} + 6 a ^{12} - 51}{6}, x = - \frac{3 + a ^{12} - a ^{24} + 6 a ^{12} - 51}{6}

解答ステップ

a^{12} x + 4 x = - 3 x^{2} + x - 5

辺を交換する

- 3 x^{2} + x - 5 = a^{12} x + 4 x

4 x

を左側に移動します

- 3 x^{2} - 3 x - 5 = a^{12} x

a^{12} x

を左側に移動します

- 3 x^{2} - 3 x - 5 - a^{12} x = 0

標準的な形式で書く

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

- 3 x^{2} - (3 + a^{12}) x - 5 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 3 - a ^{12} ) \pm ( - 3 - a ^{12} ) ^{2} - 4 ( - 3 ) ( - 5 )}{2 ( - 3 )}

簡素化

(- 3 - a^{12})^{2} - 4 (- 3) (- 5) : a^{24} + 6 a^{12} - 51

x_{1, 2} = \frac{- ( - 3 - a ^{12} ) \pm a ^{24} + 6 a ^{12} - 51}{2 ( - 3 )}

解を分離する

x_{1} = \frac{- ( - 3 - a ^{12} ) + a ^{24} + 6 a ^{12} - 51}{2 ( - 3 )}, x_{2} = \frac{- ( - 3 - a ^{12} ) - a ^{24} + 6 a ^{12} - 51}{2 ( - 3 )}

x = \frac{- ( - 3 - a ^{12} ) + a ^{24} + 6 a ^{12} - 51}{2 ( - 3 )} : - \frac{3 + a ^{12} + a ^{24} + 6 a ^{12} - 51}{6}

x = \frac{- ( - 3 - a ^{12} ) - a ^{24} + 6 a ^{12} - 51}{2 ( - 3 )} : - \frac{3 + a ^{12} - a ^{24} + 6 a ^{12} - 51}{6}

二次equationの解:

x = - \frac{3 + a ^{12} + a ^{24} + 6 a ^{12} - 51}{6}, x = - \frac{3 + a ^{12} - a ^{24} + 6 a ^{12} - 51}{6}

グラフ

人気の例

3 x^{1} - 2 x^{2} = 4

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