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人気のある代数 >

(14x^2)/2-8.692.4*(46.1-x)=0

解

\frac{14 \cdot x ^{2}}{2} - 8.69 \cdot 2.4 \cdot (46.1 - x) = 0

解

x = \frac{- 41.712 + 109423.590144}{28}, x = \frac{- 41.712 - 109423.590144}{28}

+1

十進法表記

x = 10.32429 \dots, x = - 13.30372 \dots

解答ステップ

\frac{14 x ^{2}}{2} - 8.69 \cdot 2.4 (46.1 - x) = 0

以下で両辺を乗じる:

2

14 x^{2} - 41.712 (46.1 - x) = 0

拡張

14 x^{2} - 41.712 (46.1 - x) : 14 x^{2} - 1922.9232 + 41.712 x

14 x^{2} - 1922.9232 + 41.712 x = 0

標準的な形式で書く

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

14 x^{2} + 41.712 x - 1922.9232 = 0

解くとthe二次式

x_{1, 2} = \frac{- 41.712 \pm 41.71 2 ^{2} - 4 \cdot 14 ( - 1922.9232 )}{2 \cdot 14}

41.71 2^{2} - 4 \cdot 14 (- 1922.9232) = 109423.590144

x_{1, 2} = \frac{- 41.712 \pm 109423.590144}{2 \cdot 14}

解を分離する

x_{1} = \frac{- 41.712 + 109423.590144}{2 \cdot 14}, x_{2} = \frac{- 41.712 - 109423.590144}{2 \cdot 14}

x = \frac{- 41.712 + 109423.590144}{2 \cdot 14} : \frac{- 41.712 + 109423.590144}{28}

x = \frac{- 41.712 - 109423.590144}{2 \cdot 14} : \frac{- 41.712 - 109423.590144}{28}

二次equationの解:

x = \frac{- 41.712 + 109423.590144}{28}, x = \frac{- 41.712 - 109423.590144}{28}

グラフ

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