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人気のある代数 >

3.75=x+50(x-1)^2

解

3.75 = x + 50 (x - 1)^{2}

解

x = \frac{99 + 551}{100}, x = \frac{99 - 551}{100}

+1

十進法表記

x = 1.22473 \dots, x = 0.75526 \dots

解答ステップ

3.75 = x + 50 (x - 1)^{2}

以下で両辺を乗じる:

100

375 = 100 x + 5000 (x - 1)^{2}

拡張

100 x + 5000 (x - 1)^{2} : 5000 x^{2} - 9900 x + 5000

375 = 5000 x^{2} - 9900 x + 5000

辺を交換する

5000 x^{2} - 9900 x + 5000 = 375

375

を左側に移動します

5000 x^{2} - 9900 x + 4625 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 9900 ) \pm ( - 9900 ) ^{2} - 4 \cdot 5000 \cdot 4625}{2 \cdot 5000}

(- 9900)^{2} - 4 \cdot 5000 \cdot 4625 = 100551

x_{1, 2} = \frac{- ( - 9900 ) \pm 100 551}{2 \cdot 5000}

解を分離する

x_{1} = \frac{- ( - 9900 ) + 100 551}{2 \cdot 5000}, x_{2} = \frac{- ( - 9900 ) - 100 551}{2 \cdot 5000}

x = \frac{- ( - 9900 ) + 100 551}{2 \cdot 5000} : \frac{99 + 551}{100}

x = \frac{- ( - 9900 ) - 100 551}{2 \cdot 5000} : \frac{99 - 551}{100}

二次equationの解:

x = \frac{99 + 551}{100}, x = \frac{99 - 551}{100}

グラフ

人気の例

x + 4 = (x - 2)^{2}

25 x^{2} - 144 = 0

4 u^{2} + 8 u = - 1

m^{2} - 14 = 0

x^2+999x-1000001000=0

x^{2} + 999 x - 1000001000 = 0