a^2-10a-24=0

解

a^{2} - 10 a - 24 = 0

a = 12, a = - 2

解答ステップ

a^{2} - 10 a - 24 = 0

解くとthe二次式

a_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot ( - 24 )}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot (- 24) = 14

a_{1, 2} = \frac{- ( - 10 ) \pm 14}{2 \cdot 1}

解を分離する

a_{1} = \frac{- ( - 10 ) + 14}{2 \cdot 1}, a_{2} = \frac{- ( - 10 ) - 14}{2 \cdot 1}

a = \frac{- ( - 10 ) + 14}{2 \cdot 1} : 12

a = \frac{- ( - 10 ) - 14}{2 \cdot 1} : - 2

二次equationの解:

a = 12, a = - 2