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人気のある代数 >

-3x^2-12x-8=0

解

- 3 x^{2} - 12 x - 8 = 0

解

x = - \frac{2 ( 3 + 3 )}{3}, x = - \frac{2 ( 3 - 3 )}{3}

+1

十進法表記

x = - 3.15470 \dots, x = - 0.84529 \dots

解答ステップ

- 3 x^{2} - 12 x - 8 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 ( - 3 ) ( - 8 )}{2 ( - 3 )}

(- 12)^{2} - 4 (- 3) (- 8) = 43

x_{1, 2} = \frac{- ( - 12 ) \pm 4 3}{2 ( - 3 )}

解を分離する

x_{1} = \frac{- ( - 12 ) + 4 3}{2 ( - 3 )}, x_{2} = \frac{- ( - 12 ) - 4 3}{2 ( - 3 )}

x = \frac{- ( - 12 ) + 4 3}{2 ( - 3 )} : - \frac{2 ( 3 + 3 )}{3}

x = \frac{- ( - 12 ) - 4 3}{2 ( - 3 )} : - \frac{2 ( 3 - 3 )}{3}

二次equationの解:

x = - \frac{2 ( 3 + 3 )}{3}, x = - \frac{2 ( 3 - 3 )}{3}

グラフ

人気の例

- x^{2} - \frac{2}{5} x = 1

9 x^{2} - 12 x = - 4

5 x^{2} - 9 x - 18 = 0

- 2 x^{2} + 7 x - 5 = 0

3 x^{2} + 192 = 0