p^2-p-30=0

解

p^{2} - p - 30 = 0

p = 6, p = - 5

解答ステップ

p^{2} - p - 30 = 0

解くとthe二次式

p_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 1 \cdot ( - 30 )}{2 \cdot 1}

(- 1)^{2} - 4 \cdot 1 \cdot (- 30) = 11

p_{1, 2} = \frac{- ( - 1 ) \pm 11}{2 \cdot 1}

解を分離する

p_{1} = \frac{- ( - 1 ) + 11}{2 \cdot 1}, p_{2} = \frac{- ( - 1 ) - 11}{2 \cdot 1}

p = \frac{- ( - 1 ) + 11}{2 \cdot 1} : 6

p = \frac{- ( - 1 ) - 11}{2 \cdot 1} : - 5

二次equationの解:

p = 6, p = - 5