4y^2-2400y+1442000=0

解

4 y^{2} - 2400 y + 1442000 = 0

y = 300 + 102705 i, y = 300 - 102705 i

解答ステップ

4 y^{2} - 2400 y + 1442000 = 0

解くとthe二次式

y_{1, 2} = \frac{- ( - 2400 ) \pm ( - 2400 ) ^{2} - 4 \cdot 4 \cdot 1442000}{2 \cdot 4}

簡素化

(- 2400)^{2} - 4 \cdot 4 \cdot 1442000 : 802705 i

y_{1, 2} = \frac{- ( - 2400 ) \pm 80 2705 i}{2 \cdot 4}

解を分離する

y_{1} = \frac{- ( - 2400 ) + 80 2705 i}{2 \cdot 4}, y_{2} = \frac{- ( - 2400 ) - 80 2705 i}{2 \cdot 4}

y = \frac{- ( - 2400 ) + 80 2705 i}{2 \cdot 4} : 300 + 102705 i

y = \frac{- ( - 2400 ) - 80 2705 i}{2 \cdot 4} : 300 - 102705 i

二次equationの解:

y = 300 + 102705 i, y = 300 - 102705 i