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人気のある代数 >

3=(x-1)^2+(((-3)/4)*(x-1))^2

解

3 = (x - 1)^{2} + ((\frac{- 3}{4}) \cdot (x - 1))^{2}

解

x = \frac{5 + 4 3}{5}, x = \frac{5 - 4 3}{5}

+1

十進法表記

x = 2.38564 \dots, x = - 0.38564 \dots

解答ステップ

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

拡張

(x - 1)^{2} + ((\frac{- 3}{4}) (x - 1))^{2} : \frac{25}{16} x^{2} - \frac{25}{8} x + \frac{25}{16}

3 = \frac{25}{16} x^{2} - \frac{25}{8} x + \frac{25}{16}

辺を交換する

\frac{25}{16} x^{2} - \frac{25}{8} x + \frac{25}{16} = 3

3

を左側に移動します

- \frac{23}{16} + \frac{25}{16} x^{2} - \frac{25}{8} x = 0

標準的な形式で書く

a x^{2} + b x + c = 0

\frac{25 x ^{2}}{16} - \frac{25 x}{8} - \frac{23}{16} = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - \frac{25}{8} ) \pm ( - \frac{25}{8} ) ^{2} - 4 \cdot \frac{25}{16} ( - \frac{23}{16} )}{2 \cdot \frac{25}{16}}

(- \frac{25}{8})^{2} - 4 \cdot \frac{25}{16} (- \frac{23}{16}) = \frac{5 3}{2}

x_{1, 2} = \frac{- ( - \frac{25}{8} ) \pm \frac{5 3}{2}}{2 \cdot \frac{25}{16}}

解を分離する

x_{1} = \frac{- ( - \frac{25}{8} ) + \frac{5 3}{2}}{2 \cdot \frac{25}{16}}, x_{2} = \frac{- ( - \frac{25}{8} ) - \frac{5 3}{2}}{2 \cdot \frac{25}{16}}

x = \frac{- ( - \frac{25}{8} ) + \frac{5 3}{2}}{2 \frac{25}{16}} : \frac{5 + 4 3}{5}

x = \frac{- ( - \frac{25}{8} ) - \frac{5 3}{2}}{2 \frac{25}{16}} : \frac{5 - 4 3}{5}

二次equationの解:

x = \frac{5 + 4 3}{5}, x = \frac{5 - 4 3}{5}

グラフ

人気の例

14 p^{2} + p - 6 = 2 p^{2}

- 63 x^{2} - 3 x + 6 = 0

(x+9)^2+8(x+9)+7=0

(x + 9)^{2} + 8 (x + 9) + 7 = 0

-45=0+10t+1/2 (-9.8)t^2

- 45 = 0 + 10 t + \frac{1}{2} (- 9.8) t^{2}

4 (x - 7)^{2} + 25 = 69