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人気のある代数 >

(14x^2)/2-8.694*(40.5-x)=0

解

\frac{14 \cdot x ^{2}}{2} - 8.69 \cdot 4 \cdot (40.5 - x) = 0

解

x = \frac{- 69.52 + 162504.3904}{28}, x = \frac{- 69.52 - 162504.3904}{28}

+1

十進法表記

x = 11.91422 \dots, x = - 16.87994 \dots

解答ステップ

\frac{14 x ^{2}}{2} - 8.69 \cdot 4 (40.5 - x) = 0

以下で両辺を乗じる:

2

14 x^{2} - 69.52 (40.5 - x) = 0

拡張

14 x^{2} - 69.52 (40.5 - x) : 14 x^{2} - 2815.56 + 69.52 x

14 x^{2} - 2815.56 + 69.52 x = 0

標準的な形式で書く

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

14 x^{2} + 69.52 x - 2815.56 = 0

解くとthe二次式

x_{1, 2} = \frac{- 69.52 \pm 69.5 2 ^{2} - 4 \cdot 14 ( - 2815.56 )}{2 \cdot 14}

69.5 2^{2} - 4 \cdot 14 (- 2815.56) = 162504.3904

x_{1, 2} = \frac{- 69.52 \pm 162504.3904}{2 \cdot 14}

解を分離する

x_{1} = \frac{- 69.52 + 162504.3904}{2 \cdot 14}, x_{2} = \frac{- 69.52 - 162504.3904}{2 \cdot 14}

x = \frac{- 69.52 + 162504.3904}{2 \cdot 14} : \frac{- 69.52 + 162504.3904}{28}

x = \frac{- 69.52 - 162504.3904}{2 \cdot 14} : \frac{- 69.52 - 162504.3904}{28}

二次equationの解:

x = \frac{- 69.52 + 162504.3904}{28}, x = \frac{- 69.52 - 162504.3904}{28}

グラフ

人気の例

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