6v^2-174v+600=0

解

6 v^{2} - 174 v + 600 = 0

v = 25, v = 4

解答ステップ

6 v^{2} - 174 v + 600 = 0

解くとthe二次式

v_{1, 2} = \frac{- ( - 174 ) \pm ( - 174 ) ^{2} - 4 \cdot 6 \cdot 600}{2 \cdot 6}

(- 174)^{2} - 4 \cdot 6 \cdot 600 = 126

v_{1, 2} = \frac{- ( - 174 ) \pm 126}{2 \cdot 6}

解を分離する

v_{1} = \frac{- ( - 174 ) + 126}{2 \cdot 6}, v_{2} = \frac{- ( - 174 ) - 126}{2 \cdot 6}

v = \frac{- ( - 174 ) + 126}{2 \cdot 6} : 25

v = \frac{- ( - 174 ) - 126}{2 \cdot 6} : 4

二次equationの解:

v = 25, v = 4