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人気のある代数 >

(32-x)^2+(16-x)^2=x^2

解

(32 - x)^{2} + (16 - x)^{2} = x^{2}

解

x = 80, x = 16

解答ステップ

(32 - x)^{2} + (16 - x)^{2} = x^{2}

拡張

(32 - x)^{2} + (16 - x)^{2} : 2 x^{2} - 96 x + 1280

2 x^{2} - 96 x + 1280 = x^{2}

x^{2}

を左側に移動します

x^{2} - 96 x + 1280 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 96 ) \pm ( - 96 ) ^{2} - 4 \cdot 1 \cdot 1280}{2 \cdot 1}

(- 96)^{2} - 4 \cdot 1 \cdot 1280 = 64

x_{1, 2} = \frac{- ( - 96 ) \pm 64}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 96 ) + 64}{2 \cdot 1}, x_{2} = \frac{- ( - 96 ) - 64}{2 \cdot 1}

x = \frac{- ( - 96 ) + 64}{2 \cdot 1} : 80

x = \frac{- ( - 96 ) - 64}{2 \cdot 1} : 16

二次equationの解:

x = 80, x = 16

グラフ

人気の例

5 x^{2} + 40 x = - 75

x^{2} - x + \frac{1}{8} = 0

solvefor x,0=x(1-x)+m-hx

so l v e f or x, 0 = x (1 - x) + m - h x

6x^2-5x+4=4(3x^2-2x+1)

6 x^{2} - 5 x + 4 = 4 (3 x^{2} - 2 x + 1)

solvefor t,h=-16t^2+v^0t+h^0

so l v e f or t, h = - 16 t^{2} + v^{0} t + h^{0}