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

解

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

t = - 2, t = 6

解答ステップ

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

以下で両辺を乗じる:

10

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

解くとthe二次式

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

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

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

解を分離する

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

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

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

二次equationの解:

t = - 2, t = 6