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人気のある代数 >

(6-r)^2+(3-r)^2=r^2

解

(6 - r)^{2} + (3 - r)^{2} = r^{2}

解

r = 15, r = 3

解答ステップ

(6 - r)^{2} + (3 - r)^{2} = r^{2}

拡張

(6 - r)^{2} + (3 - r)^{2} : 2 r^{2} - 18 r + 45

2 r^{2} - 18 r + 45 = r^{2}

r^{2}

を左側に移動します

r^{2} - 18 r + 45 = 0

解くとthe二次式

r_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 1 \cdot 45}{2 \cdot 1}

(- 18)^{2} - 4 \cdot 1 \cdot 45 = 12

r_{1, 2} = \frac{- ( - 18 ) \pm 12}{2 \cdot 1}

解を分離する

r_{1} = \frac{- ( - 18 ) + 12}{2 \cdot 1}, r_{2} = \frac{- ( - 18 ) - 12}{2 \cdot 1}

r = \frac{- ( - 18 ) + 12}{2 \cdot 1} : 15

r = \frac{- ( - 18 ) - 12}{2 \cdot 1} : 3

二次equationの解:

r = 15, r = 3

グラフ

人気の例

3 t^{2} - 10 t - 6 = 2

completesquare 9y^2+1.2y

co m pl e t es q u a re 9 y^{2} + 1.2 y

5 x^{2} - 32 x - 21 = 0

x^{2} - 2 x + 8 = 2

6 x^{2} - 3 = 8 x