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人気のある代数 >

10x(-8x-3)/4 =2(x-3)

解

10 x \frac{- 8 x - 3}{4} = 2 (x - 3)

解

x = - \frac{19 + 2281}{80}, x = \frac{2281 - 19}{80}

+1

十進法表記

x = - 0.83449 \dots, x = 0.35949 \dots

解答ステップ

10 x \frac{- 8 x - 3}{4} = 2 (x - 3)

拡張

10 x \frac{- 8 x - 3}{4} : - 20 x^{2} - \frac{15 x}{2}

拡張

2 (x - 3) : 2 x - 6

- 20 x^{2} - \frac{15 x}{2} = 2 x - 6

6

を左側に移動します

- 20 x^{2} - \frac{15 x}{2} + 6 = 2 x

2 x

を左側に移動します

\frac{- 40 x ^{2} - 19 x}{2} + 6 = 0

標準的な形式で書く

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

- 20 x^{2} - \frac{19 x}{2} + 6 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - \frac{19}{2} ) \pm ( - \frac{19}{2} ) ^{2} - 4 ( - 20 ) \cdot 6}{2 ( - 20 )}

(- \frac{19}{2})^{2} - 4 (- 20) \cdot 6 = \frac{2281}{2}

x_{1, 2} = \frac{- ( - \frac{19}{2} ) \pm \frac{2281}{2}}{2 ( - 20 )}

解を分離する

x_{1} = \frac{- ( - \frac{19}{2} ) + \frac{2281}{2}}{2 ( - 20 )}, x_{2} = \frac{- ( - \frac{19}{2} ) - \frac{2281}{2}}{2 ( - 20 )}

x = \frac{- ( - \frac{19}{2} ) + \frac{2281}{2}}{2 ( - 20 )} : - \frac{19 + 2281}{80}

x = \frac{- ( - \frac{19}{2} ) - \frac{2281}{2}}{2 ( - 20 )} : \frac{2281 - 19}{80}

二次equationの解:

x = - \frac{19 + 2281}{80}, x = \frac{2281 - 19}{80}

グラフ

人気の例

z^{2} - 2 z + 10 = 0

x^{2} + 17 x + 66 = 0

2 x^{2} - x = - 5

solvefor x,(x^2)+(x^2)=(y^2)

so l v e f or x, (x^{2}) + (x^{2}) = (y^{2})

completesquare 2x^2-12x+19

co m pl e t es q u a re 2 x^{2} - 12 x + 19