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 >

A(x)=x^2+(1.7)/4 (2/3-4/3 x)^2

解

A (x) = x^{2} + \frac{1.7}{4} (\frac{2}{3} - \frac{4}{3} x)^{2}

解

x = \frac{3.02222 \dots + 4 A + 16 A ^{2} + 24.17777 \dots A - 12.08888 \dots}{14.04444 \dots}, x = \frac{3.02222 \dots + 4 A - 16 A ^{2} + 24.17777 \dots A - 12.08888 \dots}{14.04444 \dots}

解答ステップ

A (x) = x^{2} + \frac{1.7}{4} (\frac{2}{3} - \frac{4}{3} x)^{2}

以下で両辺を乗じる:

4

4 A x = 4 x^{2} + 1.7 (\frac{2}{3} - \frac{4}{3} x)^{2}

拡張

4 x^{2} + 1.7 (\frac{2}{3} - \frac{4}{3} x)^{2} : 7.02222 \dots x^{2} - 3.02222 \dots x + 0.75555 \dots

4 A x = 7.02222 \dots x^{2} - 3.02222 \dots x + 0.75555 \dots

辺を交換する

7.02222 \dots x^{2} - 3.02222 \dots x + 0.75555 \dots = 4 A x

4 A x

を左側に移動します

7.02222 \dots x^{2} - 3.02222 \dots x + 0.75555 \dots - 4 A x = 0

標準的な形式で書く

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

7.02222 \dots x^{2} - (3.02222 \dots + 4 A) x + 0.75555 \dots = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 3.02222 \dots - 4 A ) \pm ( - 3.02222 \dots - 4 A ) ^{2} - 4 \cdot 7.02222 \dots \cdot 0.75555 \dots}{2 \cdot 7.02222 \dots}

簡素化

(- 3.02222 \dots - 4 A)^{2} - 4 \cdot 7.02222 \dots \cdot 0.75555 \dots : 16 A^{2} + 24.17777 \dots A - 12.08888 \dots

x_{1, 2} = \frac{- ( - 3.02222 \dots - 4 A ) \pm 16 A ^{2} + 24.17777 \dots A - 12.08888 \dots}{2 \cdot 7.02222 \dots}

解を分離する

x_{1} = \frac{- ( - 3.02222 \dots - 4 A ) + 16 A ^{2} + 24.17777 \dots A - 12.08888 \dots}{2 \cdot 7.02222 \dots}, x_{2} = \frac{- ( - 3.02222 \dots - 4 A ) - 16 A ^{2} + 24.17777 \dots A - 12.08888 \dots}{2 \cdot 7.02222 \dots}

x = \frac{- ( - 3.02222 \dots - 4 A ) + 16 A ^{2} + 24.17777 \dots A - 12.08888 \dots}{2 \cdot 7.02222 \dots} : \frac{3.02222 \dots + 4 A + 16 A ^{2} + 24.17777 \dots A - 12.08888 \dots}{14.04444 \dots}

x = \frac{- ( - 3.02222 \dots - 4 A ) - 16 A ^{2} + 24.17777 \dots A - 12.08888 \dots}{2 \cdot 7.02222 \dots} : \frac{3.02222 \dots + 4 A - 16 A ^{2} + 24.17777 \dots A - 12.08888 \dots}{14.04444 \dots}

二次equationの解:

x = \frac{3.02222 \dots + 4 A + 16 A ^{2} + 24.17777 \dots A - 12.08888 \dots}{14.04444 \dots}, x = \frac{3.02222 \dots + 4 A - 16 A ^{2} + 24.17777 \dots A - 12.08888 \dots}{14.04444 \dots}

グラフ

人気の例

(2x+5)(3x-2)=(x+1)

(2 x + 5) (3 x - 2) = (x + 1)

x^{2} + 10 x = - 15

- 2 x^{2} + 9 x - 2 = 0

(x^{2} - x + 2) = 0

x^{2} - 8 x + 8 = - 4 - 4