6x^2-90x+300=0

解

6 x^{2} - 90 x + 300 = 0

x = 10, x = 5

解答ステップ

6 x^{2} - 90 x + 300 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 90 ) \pm ( - 90 ) ^{2} - 4 \cdot 6 \cdot 300}{2 \cdot 6}

(- 90)^{2} - 4 \cdot 6 \cdot 300 = 30

x_{1, 2} = \frac{- ( - 90 ) \pm 30}{2 \cdot 6}

解を分離する

x_{1} = \frac{- ( - 90 ) + 30}{2 \cdot 6}, x_{2} = \frac{- ( - 90 ) - 30}{2 \cdot 6}

x = \frac{- ( - 90 ) + 30}{2 \cdot 6} : 10

x = \frac{- ( - 90 ) - 30}{2 \cdot 6} : 5

二次equationの解:

x = 10, x = 5