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人気のある代数 >

3(1-4x)-((2x-1)^2)/2 =7

解

3 (1 - 4 x) - \frac{( 2 x - 1 ) ^{2}}{2} = 7

解

x = - \frac{9}{2}, x = - \frac{1}{2}

+1

十進法表記

x = - 4.5, x = - 0.5

解答ステップ

3 (1 - 4 x) - \frac{( 2 x - 1 ) ^{2}}{2} = 7

以下で両辺を乗じる:

2

6 (1 - 4 x) - (2 x - 1)^{2} = 14

拡張

6 (1 - 4 x) - (2 x - 1)^{2} : - 4 x^{2} - 20 x + 5

- 4 x^{2} - 20 x + 5 = 14

14

を左側に移動します

- 4 x^{2} - 20 x - 9 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 ( - 4 ) ( - 9 )}{2 ( - 4 )}

(- 20)^{2} - 4 (- 4) (- 9) = 16

x_{1, 2} = \frac{- ( - 20 ) \pm 16}{2 ( - 4 )}

解を分離する

x_{1} = \frac{- ( - 20 ) + 16}{2 ( - 4 )}, x_{2} = \frac{- ( - 20 ) - 16}{2 ( - 4 )}

x = \frac{- ( - 20 ) + 16}{2 ( - 4 )} : - \frac{9}{2}

x = \frac{- ( - 20 ) - 16}{2 ( - 4 )} : - \frac{1}{2}

二次equationの解:

x = - \frac{9}{2}, x = - \frac{1}{2}

グラフ

人気の例

x^{2} + 10 x - 19 = 0

(4x+3)-(5x+2)(2x-5)=0

(4 x + 3) - (5 x + 2) (2 x - 5) = 0

- 5 x^{2} - 400 = - 90 x

2 (x^{2} + 2) = - 9 x

3 x (x - 2) = 5