p^2-17p+72=0

解

p^{2} - 17 p + 72 = 0

p = 9, p = 8

解答ステップ

p^{2} - 17 p + 72 = 0

解くとthe二次式

p_{1, 2} = \frac{- ( - 17 ) \pm ( - 17 ) ^{2} - 4 \cdot 1 \cdot 72}{2 \cdot 1}

(- 17)^{2} - 4 \cdot 1 \cdot 72 = 1

p_{1, 2} = \frac{- ( - 17 ) \pm 1}{2 \cdot 1}

解を分離する

p_{1} = \frac{- ( - 17 ) + 1}{2 \cdot 1}, p_{2} = \frac{- ( - 17 ) - 1}{2 \cdot 1}

p = \frac{- ( - 17 ) + 1}{2 \cdot 1} : 9

p = \frac{- ( - 17 ) - 1}{2 \cdot 1} : 8

二次equationの解:

p = 9, p = 8