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人気のある代数 >

3x(x+2)(2x-3)+4=2x(3x-2)(x+2)+3

解

3 x (x + 2) (2 x - 3) + 4 = 2 x (3 x - 2) (x + 2) + 3

解

x = - \frac{5 + 30}{5}, x = \frac{30 - 5}{5}

+1

十進法表記

x = - 2.09544 \dots, x = 0.09544 \dots

解答ステップ

3 x (x + 2) (2 x - 3) + 4 = 2 x (3 x - 2) (x + 2) + 3

拡張

3 x (x + 2) (2 x - 3) + 4 : 6 x^{3} + 3 x^{2} - 18 x + 4

拡張

2 x (3 x - 2) (x + 2) + 3 : 6 x^{3} + 8 x^{2} - 8 x + 3

6 x^{3} + 3 x^{2} - 18 x + 4 = 6 x^{3} + 8 x^{2} - 8 x + 3

両辺から

6 x^{3} + 8 x^{2} - 8 x + 3

を引く

6 x^{3} + 3 x^{2} - 18 x + 4 - (6 x^{3} + 8 x^{2} - 8 x + 3) = 6 x^{3} + 8 x^{2} - 8 x + 3 - (6 x^{3} + 8 x^{2} - 8 x + 3)

簡素化

- 5 x^{2} - 10 x + 1 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 ( - 5 ) \cdot 1}{2 ( - 5 )}

(- 10)^{2} - 4 (- 5) \cdot 1 = 230

x_{1, 2} = \frac{- ( - 10 ) \pm 2 30}{2 ( - 5 )}

解を分離する

x_{1} = \frac{- ( - 10 ) + 2 30}{2 ( - 5 )}, x_{2} = \frac{- ( - 10 ) - 2 30}{2 ( - 5 )}

x = \frac{- ( - 10 ) + 2 30}{2 ( - 5 )} : - \frac{5 + 30}{5}

x = \frac{- ( - 10 ) - 2 30}{2 ( - 5 )} : \frac{30 - 5}{5}

二次equationの解:

x = - \frac{5 + 30}{5}, x = \frac{30 - 5}{5}

グラフ

人気の例

2 x^{2} = 5 x + 9

4 x^{2} + 4 = 5

4 x^{2} + 4 = x

x^2+x^2+(x-2)^2=4

x^{2} + x^{2} + (x - 2)^{2} = 4

3 = - 3 x^{2} + 2