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 >

x^2+((4-x)/2)^2=16

解

x^{2} + (\frac{4 - x}{2})^{2} = 16

解

x = 4, x = - \frac{12}{5}

+1

十進法表記

x = 4, x = - 2.4

解答ステップ

x^{2} + (\frac{4 - x}{2})^{2} = 16

拡張

x^{2} + (\frac{4 - x}{2})^{2} : 4 - 2 x + \frac{5 x ^{2}}{4}

4 - 2 x + \frac{5 x ^{2}}{4} = 16

16

を左側に移動します

\frac{5 x ^{2}}{4} - 2 x - 12 = 0

解くとthe二次式

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

(- 2)^{2} - 4 \cdot \frac{5}{4} (- 12) = 8

x_{1, 2} = \frac{- ( - 2 ) \pm 8}{2 \cdot \frac{5}{4}}

解を分離する

x_{1} = \frac{- ( - 2 ) + 8}{2 \cdot \frac{5}{4}}, x_{2} = \frac{- ( - 2 ) - 8}{2 \cdot \frac{5}{4}}

x = \frac{- ( - 2 ) + 8}{2 \frac{5}{4}} : 4

x = \frac{- ( - 2 ) - 8}{2 \frac{5}{4}} : - \frac{12}{5}

二次equationの解:

x = 4, x = - \frac{12}{5}

グラフ

人気の例

completesquare 3x^2-6x-10

co m pl e t es q u a re 3 x^{2} - 6 x - 10

m^{2} = 5 m + 14

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

7 x^{2} + 40 x = 12

(2x-5)^2-(x-6)^2=5

(2 x - 5)^{2} - (x - 6)^{2} = 5