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人気のある代数 >

(18-x)^2+(9-x)^2=x^2

解

(18 - x)^{2} + (9 - x)^{2} = x^{2}

解

x = 45, x = 9

解答ステップ

(18 - x)^{2} + (9 - x)^{2} = x^{2}

拡張

(18 - x)^{2} + (9 - x)^{2} : 2 x^{2} - 54 x + 405

2 x^{2} - 54 x + 405 = x^{2}

x^{2}

を左側に移動します

x^{2} - 54 x + 405 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 54 ) \pm ( - 54 ) ^{2} - 4 \cdot 1 \cdot 405}{2 \cdot 1}

(- 54)^{2} - 4 \cdot 1 \cdot 405 = 36

x_{1, 2} = \frac{- ( - 54 ) \pm 36}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 54 ) + 36}{2 \cdot 1}, x_{2} = \frac{- ( - 54 ) - 36}{2 \cdot 1}

x = \frac{- ( - 54 ) + 36}{2 \cdot 1} : 45

x = \frac{- ( - 54 ) - 36}{2 \cdot 1} : 9

二次equationの解:

x = 45, x = 9

グラフ

人気の例

3x^2+2x=x^2+3x+6

3 x^{2} + 2 x = x^{2} + 3 x + 6

x^{2} + \frac{5}{2} x - 9 = 0

x^{2} - 5 x = 2 x^{2} + x

(x^2)/3-8x-18=0

\frac{x ^{2}}{3} - 8 x - 18 = 0

2 c^{2} + 4 c - 6 = - 3 c