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人気のある代数 >

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

解

x^{2} + (x - 6)^{2} = (x + 6)^{2}

解

x = 24, x = 0

解答ステップ

x^{2} + (x - 6)^{2} = (x + 6)^{2}

拡張

x^{2} + (x - 6)^{2} : 2 x^{2} - 12 x + 36

拡張

(x + 6)^{2} : x^{2} + 12 x + 36

2 x^{2} - 12 x + 36 = x^{2} + 12 x + 36

36

を左側に移動します

2 x^{2} - 12 x = x^{2} + 12 x

12 x

を左側に移動します

2 x^{2} - 24 x = x^{2}

x^{2}

を左側に移動します

x^{2} - 24 x = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

(- 24)^{2} - 4 \cdot 1 \cdot 0 = 24

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

解を分離する

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

x = \frac{- ( - 24 ) + 24}{2 \cdot 1} : 24

x = \frac{- ( - 24 ) - 24}{2 \cdot 1} : 0

二次equationの解:

x = 24, x = 0

グラフ

人気の例

solvefor x,x^2+(y-1)^2+z^2=4

so l v e f or x, x^{2} + (y - 1)^{2} + z^{2} = 4

x^{2} - 45 x + 500 = 0

25 x^{2} = 40 x - 16

solvefor x,3x^2-4x+3=0

so l v e f or x, 3 x^{2} - 4 x + 3 = 0

2 x + 5 x^{2} = 1