-4.9x^2+19.6x+58.8=0

解

- 4.9 x^{2} + 19.6 x + 58.8 = 0

x = - 2, x = 6

解答ステップ

- 4.9 x^{2} + 19.6 x + 58.8 = 0

以下で両辺を乗じる:

10

- 49 x^{2} + 196 x + 588 = 0

解くとthe二次式

x_{1, 2} = \frac{- 196 \pm 19 6 ^{2} - 4 ( - 49 ) \cdot 588}{2 ( - 49 )}

19 6^{2} - 4 (- 49) \cdot 588 = 392

x_{1, 2} = \frac{- 196 \pm 392}{2 ( - 49 )}

解を分離する

x_{1} = \frac{- 196 + 392}{2 ( - 49 )}, x_{2} = \frac{- 196 - 392}{2 ( - 49 )}

x = \frac{- 196 + 392}{2 ( - 49 )} : - 2

x = \frac{- 196 - 392}{2 ( - 49 )} : 6

二次equationの解:

x = - 2, x = 6