w^2-100w+2400=0

解

w^{2} - 100 w + 2400 = 0

w = 60, w = 40

解答ステップ

w^{2} - 100 w + 2400 = 0

解くとthe二次式

w_{1, 2} = \frac{- ( - 100 ) \pm ( - 100 ) ^{2} - 4 \cdot 1 \cdot 2400}{2 \cdot 1}

(- 100)^{2} - 4 \cdot 1 \cdot 2400 = 20

w_{1, 2} = \frac{- ( - 100 ) \pm 20}{2 \cdot 1}

解を分離する

w_{1} = \frac{- ( - 100 ) + 20}{2 \cdot 1}, w_{2} = \frac{- ( - 100 ) - 20}{2 \cdot 1}

w = \frac{- ( - 100 ) + 20}{2 \cdot 1} : 60

w = \frac{- ( - 100 ) - 20}{2 \cdot 1} : 40

二次equationの解:

w = 60, w = 40