p^2-6p-72=0

解

p^{2} - 6 p - 72 = 0

p = 12, p = - 6

解答ステップ

p^{2} - 6 p - 72 = 0

解くとthe二次式

p_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 72 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 72) = 18

p_{1, 2} = \frac{- ( - 6 ) \pm 18}{2 \cdot 1}

解を分離する

p_{1} = \frac{- ( - 6 ) + 18}{2 \cdot 1}, p_{2} = \frac{- ( - 6 ) - 18}{2 \cdot 1}

p = \frac{- ( - 6 ) + 18}{2 \cdot 1} : 12

p = \frac{- ( - 6 ) - 18}{2 \cdot 1} : - 6

二次equationの解:

p = 12, p = - 6