ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある代数 >

((3x-1)/2)^2=10x-1

解

(\frac{3 x - 1}{2})^{2} = 10 x - 1

解

x = 5, x = \frac{1}{9}

+1

十進法表記

x = 5, x = 0.11111 \dots

解答ステップ

(\frac{3 x - 1}{2})^{2} = 10 x - 1

拡張

(\frac{3 x - 1}{2})^{2} : \frac{9 x ^{2}}{4} - \frac{3 x}{2} + \frac{1}{4}

\frac{9 x ^{2}}{4} - \frac{3 x}{2} + \frac{1}{4} = 10 x - 1

1

を左側に移動します

\frac{9 x ^{2} + 1}{4} - \frac{3 x}{2} + 1 = 10 x

10 x

を左側に移動します

\frac{9 x ^{2} + 1 - 46 x}{4} + 1 = 0

標準的な形式で書く

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

\frac{9 x ^{2}}{4} - \frac{23 x}{2} + \frac{1}{4} + 1 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - \frac{23}{2} ) \pm ( - \frac{23}{2} ) ^{2} - 4 \cdot \frac{9}{4} ( \frac{1}{4} + 1 )}{2 \cdot \frac{9}{4}}

(- \frac{23}{2})^{2} - 4 \cdot \frac{9}{4} (\frac{1}{4} + 1) = 11

x_{1, 2} = \frac{- ( - \frac{23}{2} ) \pm 11}{2 \cdot \frac{9}{4}}

解を分離する

x_{1} = \frac{- ( - \frac{23}{2} ) + 11}{2 \cdot \frac{9}{4}}, x_{2} = \frac{- ( - \frac{23}{2} ) - 11}{2 \cdot \frac{9}{4}}

x = \frac{- ( - \frac{23}{2} ) + 11}{2 \frac{9}{4}} : 5

x = \frac{- ( - \frac{23}{2} ) - 11}{2 \frac{9}{4}} : \frac{1}{9}

二次equationの解:

x = 5, x = \frac{1}{9}

グラフ

人気の例

(2x+1)^2+(2x+3)^2=514

(2 x + 1)^{2} + (2 x + 3)^{2} = 514

(x - 6)^{2} - 43 = 38

x^{2} - 7 x + 41 = 6 x + 5

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

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