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人気のある代数 >

1-1/6 x-1/3 x^2=0

解

1 - \frac{1}{6} x - \frac{1}{3} x^{2} = 0

解

x = - 2, x = \frac{3}{2}

+1

十進法表記

x = - 2, x = 1.5

解答ステップ

1 - \frac{1}{6} x - \frac{1}{3} x^{2} = 0

以下の最小公倍数を求める:

6, 3 : 6

以下で乗じる: LCM=

6

1 \cdot 6 - \frac{1}{6} x \cdot 6 - \frac{1}{3} x^{2} \cdot 6 = 0 \cdot 6

簡素化

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

解くとthe二次式

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 ( - 2 ) \cdot 6}{2 ( - 2 )}

(- 1)^{2} - 4 (- 2) \cdot 6 = 7

x_{1, 2} = \frac{- ( - 1 ) \pm 7}{2 ( - 2 )}

解を分離する

x_{1} = \frac{- ( - 1 ) + 7}{2 ( - 2 )}, x_{2} = \frac{- ( - 1 ) - 7}{2 ( - 2 )}

x = \frac{- ( - 1 ) + 7}{2 ( - 2 )} : - 2

x = \frac{- ( - 1 ) - 7}{2 ( - 2 )} : \frac{3}{2}

二次equationの解:

x = - 2, x = \frac{3}{2}

グラフ

人気の例

- 3 x^{2} + 14 x - 12 = 0

solvefor d,(3(x-5))/(x-4)=undefined

so l v e f or d, \frac{3 ( x - 5 )}{x - 4} = u n d e f in e d

x^{2} + 16 x + 51 = 0

solvefor y,x^2-y^2=16

so l v e f or y, x^{2} - y^{2} = 16

4 x^{2} - 5 = x^{2} + 7