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 >

(5.97210^{24})(3.8310^5-x)^2=x^2(7.3510^{22})

解

(5.972 \cdot 1 0^{24}) (3.83 \cdot 1 0^{5} - x)^{2} = x^{2} \cdot (7.35 \cdot 1 0^{22})

解

x = \frac{775544.96905 \dots + 775544.96905 \dots ^{2} - 594067446299.9067}{2}, x = \frac{775544.96905 \dots - 775544.96905 \dots ^{2} - 594067446299.9067}{2}

+1

十進法表記

x = 430791.52895 \dots, x = 344753.44010 \dots

解答ステップ

(5.972 \cdot 1 0^{24}) (3.83 \cdot 1 0^{5} - x)^{2} = x^{2} (7.35 \cdot 1 0^{22})

拡張

(5.972 \cdot 1 0^{24}) (3.83 \cdot 1 0^{5} - x)^{2} : 1 0^{34} \cdot 3.8 3^{2} \cdot 5.972 - 1 0^{29} \cdot 45.74552 x + 1 0^{24} \cdot 5.972 x^{2}

1 0^{34} \cdot 3.8 3^{2} \cdot 5.972 - 1 0^{29} \cdot 45.74552 x + 1 0^{24} \cdot 5.972 x^{2} = x^{2} (7.35 \cdot 1 0^{22})

x^{2} \cdot (7.35 \cdot 1 0^{22})

を左側に移動します

1 0^{34} \cdot 3.8 3^{2} \cdot 5.972 - 1 0^{29} \cdot 45.74552 x + 1 0^{22} x^{2} (1 0^{2} \cdot 5.972 - 7.35) = 0

以下で両辺を割る

1 0^{22} \cdot 589.85

\frac{1 0 ^{34} \cdot 3.8 3 ^{2} \cdot 5.972}{1 0 ^{22} \cdot 589.85} - \frac{1 0 ^{29} \cdot 45.74552 x}{1 0 ^{22} \cdot 589.85} + \frac{1 0 ^{22} x ^{2} ( 1 0 ^{2} \cdot 5.972 - 7.35 )}{1 0 ^{22} \cdot 589.85} = \frac{0}{1 0 ^{22} \cdot 589.85}

標準的な形式で書く

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

x^{2} - 775544.96905 \dots x + 148516861574.97668 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 775544.96905 \dots ) \pm ( - 775544.96905 \dots ) ^{2} - 4 \cdot 1 \cdot 148516861574.97668}{2 \cdot 1}

(- 775544.96905 \dots)^{2} - 4 \cdot 1 \cdot 148516861574.97668 = 775544.96905 \dots^{2} - 594067446299.9067

x_{1, 2} = \frac{- ( - 775544.96905 \dots ) \pm 775544.96905 \dots ^{2} - 594067446299.9067}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 775544.96905 \dots ) + 775544.96905 \dots ^{2} - 594067446299.9067}{2 \cdot 1}, x_{2} = \frac{- ( - 775544.96905 \dots ) - 775544.96905 \dots ^{2} - 594067446299.9067}{2 \cdot 1}

x = \frac{- ( - 775544.96905 \dots ) + 775544.96905 \dots ^{2} - 594067446299.9067}{2 \cdot 1} : \frac{775544.96905 \dots + 775544.96905 \dots ^{2} - 594067446299.9067}{2}

x = \frac{- ( - 775544.96905 \dots ) - 775544.96905 \dots ^{2} - 594067446299.9067}{2 \cdot 1} : \frac{775544.96905 \dots - 775544.96905 \dots ^{2} - 594067446299.9067}{2}

二次equationの解:

x = \frac{775544.96905 \dots + 775544.96905 \dots ^{2} - 594067446299.9067}{2}, x = \frac{775544.96905 \dots - 775544.96905 \dots ^{2} - 594067446299.9067}{2}

グラフ

人気の例

簡約 1/2 x^{-2}

s im pl i f y \frac{1}{2} x^{- 2}

3 x^{2} - 12 x = 9

- 3 c + 15 = 3

簡約 ((a+b)^9)/((a+b)^4)

s im pl i f y \frac{( a + b ) ^{9}}{( a + b ) ^{4}}

\frac{x}{2} \leq \frac{5}{8}