4w^2-320w+3000=0

解

4 w^{2} - 320 w + 3000 = 0

w = 5 (8 + 34), w = 5 (8 - 34)

十進法表記

w = 69.15475 \dots, w = 10.84524 \dots

解答ステップ

4 w^{2} - 320 w + 3000 = 0

解くとthe二次式

w_{1, 2} = \frac{- ( - 320 ) \pm ( - 320 ) ^{2} - 4 \cdot 4 \cdot 3000}{2 \cdot 4}

(- 320)^{2} - 4 \cdot 4 \cdot 3000 = 4034

w_{1, 2} = \frac{- ( - 320 ) \pm 40 34}{2 \cdot 4}

解を分離する

w_{1} = \frac{- ( - 320 ) + 40 34}{2 \cdot 4}, w_{2} = \frac{- ( - 320 ) - 40 34}{2 \cdot 4}

w = \frac{- ( - 320 ) + 40 34}{2 \cdot 4} : 5 (8 + 34)

w = \frac{- ( - 320 ) - 40 34}{2 \cdot 4} : 5 (8 - 34)

二次equationの解:

w = 5 (8 + 34), w = 5 (8 - 34)