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人気のある代数 >

-4.9x^2+10x+2=0

解

- 4.9 x^{2} + 10 x + 2 = 0

解

x = - \frac{2 ( 870 - 25 )}{49}, x = \frac{2 ( 25 + 870 )}{49}

+1

十進法表記

x = - 0.18350 \dots, x = 2.22431 \dots

解答ステップ

- 4.9 x^{2} + 10 x + 2 = 0

以下で両辺を乗じる:

10

- 49 x^{2} + 100 x + 20 = 0

解くとthe二次式

x_{1, 2} = \frac{- 100 \pm 10 0 ^{2} - 4 ( - 49 ) \cdot 20}{2 ( - 49 )}

10 0^{2} - 4 (- 49) \cdot 20 = 4870

x_{1, 2} = \frac{- 100 \pm 4 870}{2 ( - 49 )}

解を分離する

x_{1} = \frac{- 100 + 4 870}{2 ( - 49 )}, x_{2} = \frac{- 100 - 4 870}{2 ( - 49 )}

x = \frac{- 100 + 4 870}{2 ( - 49 )} : - \frac{2 ( 870 - 25 )}{49}

x = \frac{- 100 - 4 870}{2 ( - 49 )} : \frac{2 ( 25 + 870 )}{49}

二次equationの解:

x = - \frac{2 ( 870 - 25 )}{49}, x = \frac{2 ( 25 + 870 )}{49}

グラフ

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