w^2+6w-112=0

解

w^{2} + 6 w - 112 = 0

w = 8, w = - 14

解答ステップ

w^{2} + 6 w - 112 = 0

解くとthe二次式

w_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot ( - 112 )}{2 \cdot 1}

6^{2} - 4 \cdot 1 \cdot (- 112) = 22

w_{1, 2} = \frac{- 6 \pm 22}{2 \cdot 1}

解を分離する

w_{1} = \frac{- 6 + 22}{2 \cdot 1}, w_{2} = \frac{- 6 - 22}{2 \cdot 1}

w = \frac{- 6 + 22}{2 \cdot 1} : 8

w = \frac{- 6 - 22}{2 \cdot 1} : - 14

二次equationの解:

w = 8, w = - 14