2y^2-44y+114=0

解

2 y^{2} - 44 y + 114 = 0

y = 19, y = 3

解答ステップ

2 y^{2} - 44 y + 114 = 0

解くとthe二次式

y_{1, 2} = \frac{- ( - 44 ) \pm ( - 44 ) ^{2} - 4 \cdot 2 \cdot 114}{2 \cdot 2}

(- 44)^{2} - 4 \cdot 2 \cdot 114 = 32

y_{1, 2} = \frac{- ( - 44 ) \pm 32}{2 \cdot 2}

解を分離する

y_{1} = \frac{- ( - 44 ) + 32}{2 \cdot 2}, y_{2} = \frac{- ( - 44 ) - 32}{2 \cdot 2}

y = \frac{- ( - 44 ) + 32}{2 \cdot 2} : 19

y = \frac{- ( - 44 ) - 32}{2 \cdot 2} : 3

二次equationの解:

y = 19, y = 3