t^2-3t-54=0

解

t^{2} - 3 t - 54 = 0

t = 9, t = - 6

解答ステップ

t^{2} - 3 t - 54 = 0

解くとthe二次式

t_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 1 \cdot ( - 54 )}{2 \cdot 1}

(- 3)^{2} - 4 \cdot 1 \cdot (- 54) = 15

t_{1, 2} = \frac{- ( - 3 ) \pm 15}{2 \cdot 1}

解を分離する

t_{1} = \frac{- ( - 3 ) + 15}{2 \cdot 1}, t_{2} = \frac{- ( - 3 ) - 15}{2 \cdot 1}

t = \frac{- ( - 3 ) + 15}{2 \cdot 1} : 9

t = \frac{- ( - 3 ) - 15}{2 \cdot 1} : - 6

二次equationの解:

t = 9, t = - 6