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人気のある代数 >

(36-r)^2+(18-r)^2=r^2

解

(36 - r)^{2} + (18 - r)^{2} = r^{2}

解

r = 90, r = 18

解答ステップ

(36 - r)^{2} + (18 - r)^{2} = r^{2}

拡張

(36 - r)^{2} + (18 - r)^{2} : 2 r^{2} - 108 r + 1620

2 r^{2} - 108 r + 1620 = r^{2}

r^{2}

を左側に移動します

r^{2} - 108 r + 1620 = 0

解くとthe二次式

r_{1, 2} = \frac{- ( - 108 ) \pm ( - 108 ) ^{2} - 4 \cdot 1 \cdot 1620}{2 \cdot 1}

(- 108)^{2} - 4 \cdot 1 \cdot 1620 = 72

r_{1, 2} = \frac{- ( - 108 ) \pm 72}{2 \cdot 1}

解を分離する

r_{1} = \frac{- ( - 108 ) + 72}{2 \cdot 1}, r_{2} = \frac{- ( - 108 ) - 72}{2 \cdot 1}

r = \frac{- ( - 108 ) + 72}{2 \cdot 1} : 90

r = \frac{- ( - 108 ) - 72}{2 \cdot 1} : 18

二次equationの解:

r = 90, r = 18

グラフ

人気の例

(6sqrt(2))^2=x^2+x^2

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