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人気のある代数 >

(38-x)^2+(19-x)^2=x^2

解

(38 - x)^{2} + (19 - x)^{2} = x^{2}

解

x = 95, x = 19

解答ステップ

(38 - x)^{2} + (19 - x)^{2} = x^{2}

拡張

(38 - x)^{2} + (19 - x)^{2} : 2 x^{2} - 114 x + 1805

2 x^{2} - 114 x + 1805 = x^{2}

x^{2}

を左側に移動します

x^{2} - 114 x + 1805 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 114 ) \pm ( - 114 ) ^{2} - 4 \cdot 1 \cdot 1805}{2 \cdot 1}

(- 114)^{2} - 4 \cdot 1 \cdot 1805 = 76

x_{1, 2} = \frac{- ( - 114 ) \pm 76}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 114 ) + 76}{2 \cdot 1}, x_{2} = \frac{- ( - 114 ) - 76}{2 \cdot 1}

x = \frac{- ( - 114 ) + 76}{2 \cdot 1} : 95

x = \frac{- ( - 114 ) - 76}{2 \cdot 1} : 19

二次equationの解:

x = 95, x = 19

グラフ

人気の例

7 x^{2} - x + 8 = 0

(x + 1)^{2} = 8

5 x^{2} = 27 x + 18

solvefor x,x^2-y^2-5xy-1=0

so l v e f or x, x^{2} - y^{2} - 5 x y - 1 = 0

q^{2} + 3 q - 19 = - 5