-16t^2+112t+84=0

解

- 16 t^{2} + 112 t + 84 = 0

t = - \frac{- 7 + 70}{2}, t = \frac{7 + 70}{2}

十進法表記

t = - 0.68330 \dots, t = 7.68330 \dots

解答ステップ

- 16 t^{2} + 112 t + 84 = 0

解くとthe二次式

t_{1, 2} = \frac{- 112 \pm 11 2 ^{2} - 4 ( - 16 ) \cdot 84}{2 ( - 16 )}

11 2^{2} - 4 (- 16) \cdot 84 = 1670

t_{1, 2} = \frac{- 112 \pm 16 70}{2 ( - 16 )}

解を分離する

t_{1} = \frac{- 112 + 16 70}{2 ( - 16 )}, t_{2} = \frac{- 112 - 16 70}{2 ( - 16 )}

t = \frac{- 112 + 16 70}{2 ( - 16 )} : - \frac{- 7 + 70}{2}

t = \frac{- 112 - 16 70}{2 ( - 16 )} : \frac{7 + 70}{2}

二次equationの解:

t = - \frac{- 7 + 70}{2}, t = \frac{7 + 70}{2}