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人気のある代数 >

(8-R)^2+(4-R)^2=R^2

解

(8 - R)^{2} + (4 - R)^{2} = R^{2}

解

R = 20, R = 4

解答ステップ

(8 - R)^{2} + (4 - R)^{2} = R^{2}

拡張

(8 - R)^{2} + (4 - R)^{2} : 2 R^{2} - 24 R + 80

2 R^{2} - 24 R + 80 = R^{2}

R^{2}

を左側に移動します

R^{2} - 24 R + 80 = 0

解くとthe二次式

R_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 1 \cdot 80}{2 \cdot 1}

(- 24)^{2} - 4 \cdot 1 \cdot 80 = 16

R_{1, 2} = \frac{- ( - 24 ) \pm 16}{2 \cdot 1}

解を分離する

R_{1} = \frac{- ( - 24 ) + 16}{2 \cdot 1}, R_{2} = \frac{- ( - 24 ) - 16}{2 \cdot 1}

R = \frac{- ( - 24 ) + 16}{2 \cdot 1} : 20

R = \frac{- ( - 24 ) - 16}{2 \cdot 1} : 4

二次equationの解:

R = 20, R = 4

グラフ

人気の例

(x) = 4 x^{2} - 3

0.25 = x^{2}

4 p (p - 2) = 4 - 2 p

solvefor x,x^2-2x-48=0

so l v e f or x, x^{2} - 2 x - 48 = 0

x^{2} - 10 = 24