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人気のある代数 >

5.5x=(4.47x-10000)^2

解

5.5 x = (4.47 x - 10000)^{2}

解

x = \frac{89405.5 + 89405. 5 ^{2} - 7992360000}{39.9618}, x = \frac{89405.5 - 89405. 5 ^{2} - 7992360000}{39.9618}

+1

十進法表記

x = 2262.08980 \dots, x = 2212.45838 \dots

解答ステップ

5.5 x = (4.47 x - 10000)^{2}

拡張

(4.47 x - 10000)^{2} : 19.9809 x^{2} - 89400 x + 100000000

5.5 x = 19.9809 x^{2} - 89400 x + 100000000

辺を交換する

19.9809 x^{2} - 89400 x + 100000000 = 5.5 x

5.5 x

を左側に移動します

19.9809 x^{2} - 89405.5 x + 100000000 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 89405.5 ) \pm ( - 89405.5 ) ^{2} - 4 \cdot 19.9809 \cdot 100000000}{2 \cdot 19.9809}

(- 89405.5)^{2} - 4 \cdot 19.9809 \cdot 100000000 = 89405. 5^{2} - 7992360000

x_{1, 2} = \frac{- ( - 89405.5 ) \pm 89405. 5 ^{2} - 7992360000}{2 \cdot 19.9809}

解を分離する

x_{1} = \frac{- ( - 89405.5 ) + 89405. 5 ^{2} - 7992360000}{2 \cdot 19.9809}, x_{2} = \frac{- ( - 89405.5 ) - 89405. 5 ^{2} - 7992360000}{2 \cdot 19.9809}

x = \frac{- ( - 89405.5 ) + 89405. 5 ^{2} - 7992360000}{2 \cdot 19.9809} : \frac{89405.5 + 89405. 5 ^{2} - 7992360000}{39.9618}

x = \frac{- ( - 89405.5 ) - 89405. 5 ^{2} - 7992360000}{2 \cdot 19.9809} : \frac{89405.5 - 89405. 5 ^{2} - 7992360000}{39.9618}

二次equationの解:

x = \frac{89405.5 + 89405. 5 ^{2} - 7992360000}{39.9618}, x = \frac{89405.5 - 89405. 5 ^{2} - 7992360000}{39.9618}

グラフ

人気の例

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