26t^2-355t+300=0

解

26 t^{2} - 355 t + 300 = 0

t = \frac{355 + 5 3793}{52}, t = \frac{355 - 5 3793}{52}

十進法表記

t = 12.74878 \dots, t = 0.90506 \dots

解答ステップ

26 t^{2} - 355 t + 300 = 0

解くとthe二次式

t_{1, 2} = \frac{- ( - 355 ) \pm ( - 355 ) ^{2} - 4 \cdot 26 \cdot 300}{2 \cdot 26}

(- 355)^{2} - 4 \cdot 26 \cdot 300 = 53793

t_{1, 2} = \frac{- ( - 355 ) \pm 5 3793}{2 \cdot 26}

解を分離する

t_{1} = \frac{- ( - 355 ) + 5 3793}{2 \cdot 26}, t_{2} = \frac{- ( - 355 ) - 5 3793}{2 \cdot 26}

t = \frac{- ( - 355 ) + 5 3793}{2 \cdot 26} : \frac{355 + 5 3793}{52}

t = \frac{- ( - 355 ) - 5 3793}{2 \cdot 26} : \frac{355 - 5 3793}{52}

二次equationの解:

t = \frac{355 + 5 3793}{52}, t = \frac{355 - 5 3793}{52}