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人気のある代数 >

(1/8-x)^2+42=(x+1/8)^2-x/2+x(x-1)

解

(\frac{1}{8} - x)^{2} + 42 = (x + \frac{1}{8})^{2} - \frac{x}{2} + x (x - 1)

解

x = - 6, x = 7

解答ステップ

(\frac{1}{8} - x)^{2} + 42 = (x + \frac{1}{8})^{2} - \frac{x}{2} + x (x - 1)

以下で両辺を乗じる:

2

2 (\frac{1}{8} - x)^{2} + 84 = 2 (x + \frac{1}{8})^{2} - x + 2 x (x - 1)

拡張

2 (\frac{1}{8} - x)^{2} + 84 : \frac{2689}{32} - \frac{1}{2} x + 2 x^{2}

拡張

2 (x + \frac{1}{8})^{2} - x + 2 x (x - 1) : 4 x^{2} - \frac{5}{2} x + \frac{1}{32}

\frac{2689}{32} - \frac{1}{2} x + 2 x^{2} = 4 x^{2} - \frac{5}{2} x + \frac{1}{32}

\frac{1}{32}

を左側に移動します

2 x^{2} - \frac{1}{2} x + 84 = 4 x^{2} - \frac{5}{2} x

\frac{5}{2} x

を左側に移動します

2 x^{2} + 2 x + 84 = 4 x^{2}

4 x^{2}

を左側に移動します

- 2 x^{2} + 2 x + 84 = 0

解くとthe二次式

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 ( - 2 ) \cdot 84}{2 ( - 2 )}

2^{2} - 4 (- 2) \cdot 84 = 26

x_{1, 2} = \frac{- 2 \pm 26}{2 ( - 2 )}

解を分離する

x_{1} = \frac{- 2 + 26}{2 ( - 2 )}, x_{2} = \frac{- 2 - 26}{2 ( - 2 )}

x = \frac{- 2 + 26}{2 ( - 2 )} : - 6

x = \frac{- 2 - 26}{2 ( - 2 )} : 7

二次equationの解:

x = - 6, x = 7

グラフ

人気の例

2 q^{2} - 3 q - 15 = - 4 q

11d^2-12d+4=6d^2

11 d^{2} - 12 d + 4 = 6 d^{2}

- x^{2} = 8 x - 2

9 q^{2} + 30 q + 25 = 0

completesquare 1+4x-x^2

co m pl e t es q u a re 1 + 4 x - x^{2}