6t^2+12t-210=0

解

6 t^{2} + 12 t - 210 = 0

t = 5, t = - 7

解答ステップ

6 t^{2} + 12 t - 210 = 0

解くとthe二次式

t_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 6 ( - 210 )}{2 \cdot 6}

1 2^{2} - 4 \cdot 6 (- 210) = 72

t_{1, 2} = \frac{- 12 \pm 72}{2 \cdot 6}

解を分離する

t_{1} = \frac{- 12 + 72}{2 \cdot 6}, t_{2} = \frac{- 12 - 72}{2 \cdot 6}

t = \frac{- 12 + 72}{2 \cdot 6} : 5

t = \frac{- 12 - 72}{2 \cdot 6} : - 7

二次equationの解:

t = 5, t = - 7