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人気のある代数 >

(m-4)^2+(m-7)^2=15

解

(m - 4)^{2} + (m - 7)^{2} = 15

解

m = \frac{11 + 21}{2}, m = \frac{11 - 21}{2}

+1

十進法表記

m = 7.79128 \dots, m = 3.20871 \dots

解答ステップ

(m - 4)^{2} + (m - 7)^{2} = 15

拡張

(m - 4)^{2} + (m - 7)^{2} : 2 m^{2} - 22 m + 65

2 m^{2} - 22 m + 65 = 15

15

を左側に移動します

2 m^{2} - 22 m + 50 = 0

解くとthe二次式

m_{1, 2} = \frac{- ( - 22 ) \pm ( - 22 ) ^{2} - 4 \cdot 2 \cdot 50}{2 \cdot 2}

(- 22)^{2} - 4 \cdot 2 \cdot 50 = 221

m_{1, 2} = \frac{- ( - 22 ) \pm 2 21}{2 \cdot 2}

解を分離する

m_{1} = \frac{- ( - 22 ) + 2 21}{2 \cdot 2}, m_{2} = \frac{- ( - 22 ) - 2 21}{2 \cdot 2}

m = \frac{- ( - 22 ) + 2 21}{2 \cdot 2} : \frac{11 + 21}{2}

m = \frac{- ( - 22 ) - 2 21}{2 \cdot 2} : \frac{11 - 21}{2}

二次equationの解:

m = \frac{11 + 21}{2}, m = \frac{11 - 21}{2}

グラフ

人気の例

\frac{1}{2} x^{2} + 6 x - 5 = 0

2 (x + 3)^{2} - 120 = 0

3 - 2 x^{2} = 0

completesquare x^2+8x+10

co m pl e t es q u a re x^{2} + 8 x + 10

completesquare x^2+8x+14

co m pl e t es q u a re x^{2} + 8 x + 14