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 >

(17-x)^2=(16-x)^2+(9-x)^2

解

(17 - x)^{2} = (16 - x)^{2} + (9 - x)^{2}

解

x = 4, x = 12

解答ステップ

(17 - x)^{2} = (16 - x)^{2} + (9 - x)^{2}

拡張

(17 - x)^{2} : 289 - 34 x + x^{2}

拡張

(16 - x)^{2} + (9 - x)^{2} : 2 x^{2} - 50 x + 337

289 - 34 x + x^{2} = 2 x^{2} - 50 x + 337

337

を左側に移動します

x^{2} - 34 x - 48 = 2 x^{2} - 50 x

50 x

を左側に移動します

x^{2} + 16 x - 48 = 2 x^{2}

2 x^{2}

を左側に移動します

- x^{2} + 16 x - 48 = 0

解くとthe二次式

x_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 ( - 1 ) ( - 48 )}{2 ( - 1 )}

1 6^{2} - 4 (- 1) (- 48) = 8

x_{1, 2} = \frac{- 16 \pm 8}{2 ( - 1 )}

解を分離する

x_{1} = \frac{- 16 + 8}{2 ( - 1 )}, x_{2} = \frac{- 16 - 8}{2 ( - 1 )}

x = \frac{- 16 + 8}{2 ( - 1 )} : 4

x = \frac{- 16 - 8}{2 ( - 1 )} : 12

二次equationの解:

x = 4, x = 12

グラフ

人気の例

5 x^{2} + 14 = 0

-29x^2+4167x-50000=0

- 29 x^{2} + 4167 x - 50000 = 0

- 3 x^{2} - 5 x = 1

A(X)=X^2+pi((1-4X)/2)^2

A (X) = X^{2} + π (\frac{1 - 4 X}{2})^{2}

9 X^{2} - 18 X = 0