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人気のある代数 >

(3x-5)^2+(2x-7)^2=(5x-3)^2

解

(3 x - 5)^{2} + (2 x - 7)^{2} = (5 x - 3)^{2}

解

x = - \frac{7 + 2 61}{6}, x = \frac{2 61 - 7}{6}

+1

十進法表記

x = - 3.77008 \dots, x = 1.43674 \dots

解答ステップ

(3 x - 5)^{2} + (2 x - 7)^{2} = (5 x - 3)^{2}

拡張

(3 x - 5)^{2} + (2 x - 7)^{2} : 13 x^{2} - 58 x + 74

拡張

(5 x - 3)^{2} : 25 x^{2} - 30 x + 9

13 x^{2} - 58 x + 74 = 25 x^{2} - 30 x + 9

9

を左側に移動します

13 x^{2} - 58 x + 65 = 25 x^{2} - 30 x

30 x

を左側に移動します

13 x^{2} - 28 x + 65 = 25 x^{2}

25 x^{2}

を左側に移動します

- 12 x^{2} - 28 x + 65 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 28 ) \pm ( - 28 ) ^{2} - 4 ( - 12 ) \cdot 65}{2 ( - 12 )}

(- 28)^{2} - 4 (- 12) \cdot 65 = 861

x_{1, 2} = \frac{- ( - 28 ) \pm 8 61}{2 ( - 12 )}

解を分離する

x_{1} = \frac{- ( - 28 ) + 8 61}{2 ( - 12 )}, x_{2} = \frac{- ( - 28 ) - 8 61}{2 ( - 12 )}

x = \frac{- ( - 28 ) + 8 61}{2 ( - 12 )} : - \frac{7 + 2 61}{6}

x = \frac{- ( - 28 ) - 8 61}{2 ( - 12 )} : \frac{2 61 - 7}{6}

二次equationの解:

x = - \frac{7 + 2 61}{6}, x = \frac{2 61 - 7}{6}

グラフ

人気の例

w^{2} + 15 = 8 w

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