4y^2-215y+2875=0

解

4 y^{2} - 215 y + 2875 = 0

y = \frac{115}{4}, y = 25

十進法表記

y = 28.75, y = 25

解答ステップ

4 y^{2} - 215 y + 2875 = 0

解くとthe二次式

y_{1, 2} = \frac{- ( - 215 ) \pm ( - 215 ) ^{2} - 4 \cdot 4 \cdot 2875}{2 \cdot 4}

(- 215)^{2} - 4 \cdot 4 \cdot 2875 = 15

y_{1, 2} = \frac{- ( - 215 ) \pm 15}{2 \cdot 4}

解を分離する

y_{1} = \frac{- ( - 215 ) + 15}{2 \cdot 4}, y_{2} = \frac{- ( - 215 ) - 15}{2 \cdot 4}

y = \frac{- ( - 215 ) + 15}{2 \cdot 4} : \frac{115}{4}

y = \frac{- ( - 215 ) - 15}{2 \cdot 4} : 25

二次equationの解:

y = \frac{115}{4}, y = 25