s^2+6s-16=0

解

s^{2} + 6 s - 16 = 0

s = 2, s = - 8

解答ステップ

s^{2} + 6 s - 16 = 0

解くとthe二次式

s_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot ( - 16 )}{2 \cdot 1}

6^{2} - 4 \cdot 1 \cdot (- 16) = 10

s_{1, 2} = \frac{- 6 \pm 10}{2 \cdot 1}

解を分離する

s_{1} = \frac{- 6 + 10}{2 \cdot 1}, s_{2} = \frac{- 6 - 10}{2 \cdot 1}

s = \frac{- 6 + 10}{2 \cdot 1} : 2

s = \frac{- 6 - 10}{2 \cdot 1} : - 8

二次equationの解:

s = 2, s = - 8