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人気のある代数 >

x^2+(x+1)^2+(x+2)^2=(x+3)^2+(x+4)^2

解

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

解

x = 10, x = - 2

解答ステップ

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

拡張

x^{2} + (x + 1)^{2} + (x + 2)^{2} : 3 x^{2} + 6 x + 5

拡張

(x + 3)^{2} + (x + 4)^{2} : 2 x^{2} + 14 x + 25

3 x^{2} + 6 x + 5 = 2 x^{2} + 14 x + 25

25

を左側に移動します

3 x^{2} + 6 x - 20 = 2 x^{2} + 14 x

14 x

を左側に移動します

3 x^{2} - 8 x - 20 = 2 x^{2}

2 x^{2}

を左側に移動します

x^{2} - 8 x - 20 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 1 \cdot ( - 20 )}{2 \cdot 1}

(- 8)^{2} - 4 \cdot 1 \cdot (- 20) = 12

x_{1, 2} = \frac{- ( - 8 ) \pm 12}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 8 ) + 12}{2 \cdot 1}, x_{2} = \frac{- ( - 8 ) - 12}{2 \cdot 1}

x = \frac{- ( - 8 ) + 12}{2 \cdot 1} : 10

x = \frac{- ( - 8 ) - 12}{2 \cdot 1} : - 2

二次equationの解:

x = 10, x = - 2

グラフ

人気の例

n C^{2} = 45

solvefor x,(3x-y)^2+(x-5)^2=0

so l v e f or x, (3 x - y)^{2} + (x - 5)^{2} = 0

solvefor x,x^2+y^2+z^2=2y

so l v e f or x, x^{2} + y^{2} + z^{2} = 2 y

(4-4x+x^2)(6*10^{-6})=x^2(15*10^{-6})

(4 - 4 x + x^{2}) (6 \cdot 1 0^{- 6}) = x^{2} (15 \cdot 1 0^{- 6})

x^{2} - 2 x - 15 = - x + 5