p^2+3p+2=0

解

p^{2} + 3 p + 2 = 0

p = - 1, p = - 2

解答ステップ

p^{2} + 3 p + 2 = 0

解くとthe二次式

p_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 1 \cdot 2}{2 \cdot 1}

3^{2} - 4 \cdot 1 \cdot 2 = 1

p_{1, 2} = \frac{- 3 \pm 1}{2 \cdot 1}

解を分離する

p_{1} = \frac{- 3 + 1}{2 \cdot 1}, p_{2} = \frac{- 3 - 1}{2 \cdot 1}

p = \frac{- 3 + 1}{2 \cdot 1} : - 1

p = \frac{- 3 - 1}{2 \cdot 1} : - 2

二次equationの解:

p = - 1, p = - 2