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 >

(3.210^{-5})(2-x)^2=(6.910^{-6})x^2

解

(3.2 \cdot 1 0^{- 5}) (2 - x)^{2} = (6.9 \cdot 1 0^{- 6}) x^{2}

解

x = \frac{50 ( 100000 \frac{163.84}{1 0 ^{10}} - \frac{200.8}{15625000000} + 12.8 )}{251}, x = \frac{50 ( - 100000 \frac{163.84}{1 0 ^{10}} - \frac{200.8}{15625000000} + 12.8 )}{251}

+1

十進法表記

x = 3.73381 \dots, x = 1.36578 \dots

解答ステップ

(3.2 \cdot 1 0^{- 5}) (2 - x)^{2} = (6.9 \cdot 1 0^{- 6}) x^{2}

(6.9 \cdot 1 0^{- 6}) x^{2}

を左側に移動します

2^{2} \cdot \frac{1}{2 \cdot 5 ^{6}} - \frac{12.8 x}{1 0 ^{5}} + \frac{25.1 x ^{2}}{1000000} = 0

標準的な形式で書く

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

\frac{25.1 x ^{2}}{1000000} - \frac{12.8 x}{1 0 ^{5}} + \frac{2}{5 ^{6}} = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - \frac{12.8}{1 0 ^{5}} ) \pm ( - \frac{12.8}{1 0 ^{5}} ) ^{2} - 4 \cdot \frac{25.1}{1000000} \cdot \frac{2}{5 ^{6}}}{2 \cdot \frac{25.1}{1000000}}

(- \frac{12.8}{1 0 ^{5}})^{2} - 4 \cdot \frac{25.1}{1000000} \cdot \frac{2}{5 ^{6}} = \frac{163.84}{1 0 ^{10}} - \frac{200.8}{15625000000}

x_{1, 2} = \frac{- ( - \frac{12.8}{1 0 ^{5}} ) \pm \frac{163.84}{1 0 ^{10}} - \frac{200.8}{15625000000}}{2 \cdot \frac{25.1}{1000000}}

解を分離する

x_{1} = \frac{- ( - \frac{12.8}{1 0 ^{5}} ) + \frac{163.84}{1 0 ^{10}} - \frac{200.8}{15625000000}}{2 \cdot \frac{25.1}{1000000}}, x_{2} = \frac{- ( - \frac{12.8}{1 0 ^{5}} ) - \frac{163.84}{1 0 ^{10}} - \frac{200.8}{15625000000}}{2 \cdot \frac{25.1}{1000000}}

x = \frac{- ( - \frac{12.8}{1 0 ^{5}} ) + \frac{163.84}{1 0 ^{10}} - \frac{200.8}{15625000000}}{2 \frac{25.1}{1000000}} : \frac{50 ( 100000 \frac{163.84}{1 0 ^{10}} - \frac{200.8}{15625000000} + 12.8 )}{251}

x = \frac{- ( - \frac{12.8}{1 0 ^{5}} ) - \frac{163.84}{1 0 ^{10}} - \frac{200.8}{15625000000}}{2 \frac{25.1}{1000000}} : \frac{50 ( - 100000 \frac{163.84}{1 0 ^{10}} - \frac{200.8}{15625000000} + 12.8 )}{251}

二次equationの解:

x = \frac{50 ( 100000 \frac{163.84}{1 0 ^{10}} - \frac{200.8}{15625000000} + 12.8 )}{251}, x = \frac{50 ( - 100000 \frac{163.84}{1 0 ^{10}} - \frac{200.8}{15625000000} + 12.8 )}{251}

グラフ

人気の例

3 x - 2 = 10

(x^2+1)/(x-1)<= 0

\frac{x ^{2} + 1}{x - 1} \leq 0

f a c t or 49 - x^{2}

5 x + 3 \leq 6 x - 8

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

\frac{2 x + 1}{3 x - 1} \geq \frac{2 x + 5}{3 x + 2}