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人気のある代数 >

100x^2-100x+10.011=0

解

100 x^{2} - 100 x + 10.011 = 0

解

x = \frac{100000 + 10000 0 ^{2} - 4004400000}{200000}, x = \frac{100000 - 10000 0 ^{2} - 4004400000}{200000}

+1

十進法表記

x = 0.88715 \dots, x = 0.11284 \dots

解答ステップ

100 x^{2} - 100 x + 10.011 = 0

以下で両辺を乗じる:

1000

100000 x^{2} - 100000 x + 10011 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 100000 ) \pm ( - 100000 ) ^{2} - 4 \cdot 100000 \cdot 10011}{2 \cdot 100000}

(- 100000)^{2} - 4 \cdot 100000 \cdot 10011 = 10000 0^{2} - 4004400000

x_{1, 2} = \frac{- ( - 100000 ) \pm 10000 0 ^{2} - 4004400000}{2 \cdot 100000}

解を分離する

x_{1} = \frac{- ( - 100000 ) + 10000 0 ^{2} - 4004400000}{2 \cdot 100000}, x_{2} = \frac{- ( - 100000 ) - 10000 0 ^{2} - 4004400000}{2 \cdot 100000}

x = \frac{- ( - 100000 ) + 10000 0 ^{2} - 4004400000}{2 \cdot 100000} : \frac{100000 + 10000 0 ^{2} - 4004400000}{200000}

x = \frac{- ( - 100000 ) - 10000 0 ^{2} - 4004400000}{2 \cdot 100000} : \frac{100000 - 10000 0 ^{2} - 4004400000}{200000}

二次equationの解:

x = \frac{100000 + 10000 0 ^{2} - 4004400000}{200000}, x = \frac{100000 - 10000 0 ^{2} - 4004400000}{200000}

グラフ

人気の例

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