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人気のある代数 >

2x^2-6x+2/9 =0

解

2 x^{2} - 6 x + \frac{2}{9} = 0

解

x = \frac{9 + 77}{6}, x = \frac{9 - 77}{6}

+1

十進法表記

x = 2.96249 \dots, x = 0.03750 \dots

解答ステップ

2 x^{2} - 6 x + \frac{2}{9} = 0

以下で両辺を乗じる:

9

18 x^{2} - 54 x + 2 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 54 ) \pm ( - 54 ) ^{2} - 4 \cdot 18 \cdot 2}{2 \cdot 18}

(- 54)^{2} - 4 \cdot 18 \cdot 2 = 677

x_{1, 2} = \frac{- ( - 54 ) \pm 6 77}{2 \cdot 18}

解を分離する

x_{1} = \frac{- ( - 54 ) + 6 77}{2 \cdot 18}, x_{2} = \frac{- ( - 54 ) - 6 77}{2 \cdot 18}

x = \frac{- ( - 54 ) + 6 77}{2 \cdot 18} : \frac{9 + 77}{6}

x = \frac{- ( - 54 ) - 6 77}{2 \cdot 18} : \frac{9 - 77}{6}

二次equationの解:

x = \frac{9 + 77}{6}, x = \frac{9 - 77}{6}

グラフ

人気の例

x (x + 3) = - 5

4.905x^2+8x-30=0

4.905 x^{2} + 8 x - 30 = 0

100 x^{2} - 1 = 0

- c^{2} + c + 6 = 0

-d^2+200=d^2-42

- d^{2} + 200 = d^{2} - 42