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人気のある代数 >

(x+4)^2+(x-7)^2=25

解

(x + 4)^{2} + (x - 7)^{2} = 25

解

x = \frac{3}{2} + i \frac{71}{2}, x = \frac{3}{2} - i \frac{71}{2}

解答ステップ

(x + 4)^{2} + (x - 7)^{2} = 25

拡張

(x + 4)^{2} + (x - 7)^{2} : 2 x^{2} - 6 x + 65

2 x^{2} - 6 x + 65 = 25

25

を左側に移動します

2 x^{2} - 6 x + 40 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 2 \cdot 40}{2 \cdot 2}

簡素化

(- 6)^{2} - 4 \cdot 2 \cdot 40 : 271 i

x_{1, 2} = \frac{- ( - 6 ) \pm 2 71 i}{2 \cdot 2}

解を分離する

x_{1} = \frac{- ( - 6 ) + 2 71 i}{2 \cdot 2}, x_{2} = \frac{- ( - 6 ) - 2 71 i}{2 \cdot 2}

x = \frac{- ( - 6 ) + 2 71 i}{2 \cdot 2} : \frac{3}{2} + i \frac{71}{2}

x = \frac{- ( - 6 ) - 2 71 i}{2 \cdot 2} : \frac{3}{2} - i \frac{71}{2}

二次equationの解:

x = \frac{3}{2} + i \frac{71}{2}, x = \frac{3}{2} - i \frac{71}{2}

グラフ

人気の例

- 7 x^{2} - 4 = 325

x (x + 3) - 10 = 0

(- 4 - m)^{2} - 4 = 0

completesquare 3x^2-6x+11

co m pl e t es q u a re 3 x^{2} - 6 x + 11

7 - x^{2} = x