a^2-a-6=0

解

a^{2} - a - 6 = 0

a = 3, a = - 2

解答ステップ

a^{2} - a - 6 = 0

解くとthe二次式

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

(- 1)^{2} - 4 \cdot 1 \cdot (- 6) = 5

a_{1, 2} = \frac{- ( - 1 ) \pm 5}{2 \cdot 1}

解を分離する

a_{1} = \frac{- ( - 1 ) + 5}{2 \cdot 1}, a_{2} = \frac{- ( - 1 ) - 5}{2 \cdot 1}

a = \frac{- ( - 1 ) + 5}{2 \cdot 1} : 3

a = \frac{- ( - 1 ) - 5}{2 \cdot 1} : - 2

二次equationの解:

a = 3, a = - 2