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人気のある代数 >

solvefor x,kx^2-4x+1/2 =0

解

x, k x^{2} - 4 x + \frac{1}{2} = 0

解

x = \frac{8 + 64 - 8 k}{4 k}, x = \frac{8 - 64 - 8 k}{4 k}; k \neq = 0

解答ステップ

k x^{2} - 4 x + \frac{1}{2} = 0

以下で両辺を乗じる:

2

2 k x^{2} - 8 x + 1 = 0

解くとthe二次式

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

簡素化

(- 8)^{2} - 4 \cdot 2 k \cdot 1 : 64 - 8 k

x_{1, 2} = \frac{- ( - 8 ) \pm 64 - 8 k}{2 \cdot 2 k}; k \neq = 0

解を分離する

x_{1} = \frac{- ( - 8 ) + 64 - 8 k}{2 \cdot 2 k}, x_{2} = \frac{- ( - 8 ) - 64 - 8 k}{2 \cdot 2 k}

x = \frac{- ( - 8 ) + 64 - 8 k}{2 \cdot 2 k} : \frac{8 + 64 - 8 k}{4 k}

x = \frac{- ( - 8 ) - 64 - 8 k}{2 \cdot 2 k} : \frac{8 - 64 - 8 k}{4 k}

二次equationの解:

x = \frac{8 + 64 - 8 k}{4 k}, x = \frac{8 - 64 - 8 k}{4 k}; k \neq = 0

グラフ

人気の例

(2x+6)(2x-6)=(2x+9)(3x-4)

(2 x + 6) (2 x - 6) = (2 x + 9) (3 x - 4)

-3(x-8)(5x-1)=0

- 3 (x - 8) (5 x - 1) = 0

solvefor x,x^2-kx+2=0

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

solvefor x,x^2-kx+2=3

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

(m - 4)^{2} = 49