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人気のある代数 >

[3(x+10)]^2+[3x]^2=200^2

解

[3 (x + 10)]^{2} + [3 x]^{2} = 20 0^{2}

解

x = \frac{5 ( 791 - 3 )}{3}, x = - \frac{5 ( 3 + 791 )}{3}

+1

十進法表記

x = 41.87453 \dots, x = - 51.87453 \dots

解答ステップ

[3 (x + 10)]^{2} + [3 x]^{2} = 20 0^{2}

拡張

(3 (x + 10))^{2} + (3 x)^{2} : 18 x^{2} + 180 x + 900

拡張

20 0^{2} : 40000

18 x^{2} + 180 x + 900 = 40000

40000

を左側に移動します

18 x^{2} + 180 x - 39100 = 0

解くとthe二次式

x_{1, 2} = \frac{- 180 \pm 18 0 ^{2} - 4 \cdot 18 ( - 39100 )}{2 \cdot 18}

18 0^{2} - 4 \cdot 18 (- 39100) = 60791

x_{1, 2} = \frac{- 180 \pm 60 791}{2 \cdot 18}

解を分離する

x_{1} = \frac{- 180 + 60 791}{2 \cdot 18}, x_{2} = \frac{- 180 - 60 791}{2 \cdot 18}

x = \frac{- 180 + 60 791}{2 \cdot 18} : \frac{5 ( 791 - 3 )}{3}

x = \frac{- 180 - 60 791}{2 \cdot 18} : - \frac{5 ( 3 + 791 )}{3}

二次equationの解:

x = \frac{5 ( 791 - 3 )}{3}, x = - \frac{5 ( 3 + 791 )}{3}

グラフ

人気の例

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