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受欢迎的代数 >

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

解答

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

解答

R = 55, R = 11

求解步骤

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

展开

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

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

将

R^{2}

para o lado esquerdo

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

使用求根公式求解

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}

将解分隔开

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

二次方程组的解是:

R = 55, R = 11

作图

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