a^2-2a-48=0

解

a^{2} - 2 a - 48 = 0

a = 8, a = - 6

解答ステップ

a^{2} - 2 a - 48 = 0

解くとthe二次式

a_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 1 \cdot ( - 48 )}{2 \cdot 1}

(- 2)^{2} - 4 \cdot 1 \cdot (- 48) = 14

a_{1, 2} = \frac{- ( - 2 ) \pm 14}{2 \cdot 1}

解を分離する

a_{1} = \frac{- ( - 2 ) + 14}{2 \cdot 1}, a_{2} = \frac{- ( - 2 ) - 14}{2 \cdot 1}

a = \frac{- ( - 2 ) + 14}{2 \cdot 1} : 8

a = \frac{- ( - 2 ) - 14}{2 \cdot 1} : - 6

二次equationの解:

a = 8, a = - 6