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人気のある代数 >

((x-7)/4)^2+((x-3)/4)^2= 169/16

解

(\frac{x - 7}{4})^{2} + (\frac{x - 3}{4})^{2} = \frac{169}{16}

解

x = \frac{10 + 322}{2}, x = \frac{10 - 322}{2}

+1

十進法表記

x = 13.97217 \dots, x = - 3.97217 \dots

解答ステップ

(\frac{x - 7}{4})^{2} + (\frac{x - 3}{4})^{2} = \frac{169}{16}

以下で両辺を乗じる:

16

(x - 7)^{2} + (x - 3)^{2} = 169

拡張

(x - 7)^{2} + (x - 3)^{2} : 2 x^{2} - 20 x + 58

2 x^{2} - 20 x + 58 = 169

169

を左側に移動します

2 x^{2} - 20 x - 111 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 2 ( - 111 )}{2 \cdot 2}

(- 20)^{2} - 4 \cdot 2 (- 111) = 2322

x_{1, 2} = \frac{- ( - 20 ) \pm 2 322}{2 \cdot 2}

解を分離する

x_{1} = \frac{- ( - 20 ) + 2 322}{2 \cdot 2}, x_{2} = \frac{- ( - 20 ) - 2 322}{2 \cdot 2}

x = \frac{- ( - 20 ) + 2 322}{2 \cdot 2} : \frac{10 + 322}{2}

x = \frac{- ( - 20 ) - 2 322}{2 \cdot 2} : \frac{10 - 322}{2}

二次equationの解:

x = \frac{10 + 322}{2}, x = \frac{10 - 322}{2}

グラフ

人気の例

4 x^{2} - 3 x = 7

0 = 6 x^{2} - 18 x + 12

3 x^{2} - 13 x = 0

5 x (x - 3) - x + 3 = 0

(2 x - 9) (x + 8) = 0