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人気のある代数 >

solvefor x,x^2+k(4x+k-1)+2=0

解

x, x^{2} + k (4 x + k - 1) + 2 = 0

解

x = - 2 k + 3 k^{2} + k - 2, x = - 2 k - 3 k^{2} + k - 2

解答ステップ

x^{2} + k (4 x + k - 1) + 2 = 0

拡張

x^{2} + k (4 x + k - 1) + 2 : x^{2} + 4 k x + k^{2} - k + 2

x^{2} + 4 k x + k^{2} - k + 2 = 0

解くとthe二次式

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

簡素化

(4 k)^{2} - 4 \cdot 1 \cdot (k^{2} - k + 2) : 2 3 k^{2} - 2 + k

x_{1, 2} = \frac{- 4 k \pm 2 3 k ^{2} - 2 + k}{2 \cdot 1}

解を分離する

x_{1} = \frac{- 4 k + 2 3 k ^{2} - 2 + k}{2 \cdot 1}, x_{2} = \frac{- 4 k - 2 3 k ^{2} - 2 + k}{2 \cdot 1}

x = \frac{- 4 k + 2 3 k ^{2} - 2 + k}{2 \cdot 1} : - 2 k + 3 k^{2} + k - 2

x = \frac{- 4 k - 2 3 k ^{2} - 2 + k}{2 \cdot 1} : - 2 k - 3 k^{2} + k - 2

二次equationの解:

x = - 2 k + 3 k^{2} + k - 2, x = - 2 k - 3 k^{2} + k - 2

グラフ

人気の例

x^{2} = x + 1, x^{4}

2 x \cdot (x + 1) = 0

7 x^{2} - x + 6 = 0

6 m^{2} + 4 m = 3

solvefor x,y^2-x^2=a

so l v e f or x, y^{2} - x^{2} = a