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人気のある代数 >

-4.9x^2+5x+40=0

解

- 4.9 x^{2} + 5 x + 40 = 0

解

x = - \frac{5 ( 809 - 5 )}{49}, x = \frac{5 ( 5 + 809 )}{49}

+1

十進法表記

x = - 2.39213 \dots, x = 3.41254 \dots

解答ステップ

- 4.9 x^{2} + 5 x + 40 = 0

以下で両辺を乗じる:

10

- 49 x^{2} + 50 x + 400 = 0

解くとthe二次式

x_{1, 2} = \frac{- 50 \pm 5 0 ^{2} - 4 ( - 49 ) \cdot 400}{2 ( - 49 )}

5 0^{2} - 4 (- 49) \cdot 400 = 10809

x_{1, 2} = \frac{- 50 \pm 10 809}{2 ( - 49 )}

解を分離する

x_{1} = \frac{- 50 + 10 809}{2 ( - 49 )}, x_{2} = \frac{- 50 - 10 809}{2 ( - 49 )}

x = \frac{- 50 + 10 809}{2 ( - 49 )} : - \frac{5 ( 809 - 5 )}{49}

x = \frac{- 50 - 10 809}{2 ( - 49 )} : \frac{5 ( 5 + 809 )}{49}

二次equationの解:

x = - \frac{5 ( 809 - 5 )}{49}, x = \frac{5 ( 5 + 809 )}{49}

グラフ

人気の例

x^{2} + 2 x = - 26

a^{2} = 2 a - 1

15 = x^{2} + 2 x

2 x^{2} - 75 = - 3

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