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人気のある代数 >

(22-r)^2+(11-r)^2=r^2

解

(22 - r)^{2} + (11 - r)^{2} = r^{2}

解

r = 55, r = 11

解答ステップ

(22 - r)^{2} + (11 - r)^{2} = r^{2}

拡張

(22 - r)^{2} + (11 - r)^{2} : 2 r^{2} - 66 r + 605

2 r^{2} - 66 r + 605 = r^{2}

r^{2}

を左側に移動します

r^{2} - 66 r + 605 = 0

解くとthe二次式

r_{1, 2} = \frac{- ( - 66 ) \pm ( - 66 ) ^{2} - 4 \cdot 1 \cdot 605}{2 \cdot 1}

(- 66)^{2} - 4 \cdot 1 \cdot 605 = 44

r_{1, 2} = \frac{- ( - 66 ) \pm 44}{2 \cdot 1}

解を分離する

r_{1} = \frac{- ( - 66 ) + 44}{2 \cdot 1}, r_{2} = \frac{- ( - 66 ) - 44}{2 \cdot 1}

r = \frac{- ( - 66 ) + 44}{2 \cdot 1} : 55

r = \frac{- ( - 66 ) - 44}{2 \cdot 1} : 11

二次equationの解:

r = 55, r = 11

グラフ

人気の例

5 x^{2} + 7 x = 3

(p-3)^2-4(p-3)^2+3=0

(p - 3)^{2} - 4 (p - 3)^{2} + 3 = 0

4 x + x^{2} = 21

12 x^{2} + 25 x + 7 = 0

x^{2} - 1 - x - 22 = 0