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人気のある代数 >

4.67(3.88-x)^2+5.77x^2=0

解

4.67 (3.88 - x)^{2} + 5.77 x^{2} = 0

解

x = \frac{36.2392}{20.88} + i \frac{1622.61742 \dots}{20.88}, x = \frac{36.2392}{20.88} - i \frac{1622.61742 \dots}{20.88}

解答ステップ

4.67 (3.88 - x)^{2} + 5.77 x^{2} = 0

拡張

4.67 (3.88 - x)^{2} + 5.77 x^{2} : 70.304048 - 36.2392 x + 10.44 x^{2}

70.304048 - 36.2392 x + 10.44 x^{2} = 0

標準的な形式で書く

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

10.44 x^{2} - 36.2392 x + 70.304048 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 36.2392 ) \pm ( - 36.2392 ) ^{2} - 4 \cdot 10.44 \cdot 70.304048}{2 \cdot 10.44}

簡素化

(- 36.2392)^{2} - 4 \cdot 10.44 \cdot 70.304048 : 1622.61742 \dots i

x_{1, 2} = \frac{- ( - 36.2392 ) \pm 1622.61742 \dots i}{2 \cdot 10.44}

解を分離する

x_{1} = \frac{- ( - 36.2392 ) + 1622.61742 \dots i}{2 \cdot 10.44}, x_{2} = \frac{- ( - 36.2392 ) - 1622.61742 \dots i}{2 \cdot 10.44}

x = \frac{- ( - 36.2392 ) + 1622.61742 \dots i}{2 \cdot 10.44} : \frac{36.2392}{20.88} + i \frac{1622.61742 \dots}{20.88}

x = \frac{- ( - 36.2392 ) - 1622.61742 \dots i}{2 \cdot 10.44} : \frac{36.2392}{20.88} - i \frac{1622.61742 \dots}{20.88}

二次equationの解:

x = \frac{36.2392}{20.88} + i \frac{1622.61742 \dots}{20.88}, x = \frac{36.2392}{20.88} - i \frac{1622.61742 \dots}{20.88}

グラフ

人気の例

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