6x^2-84x+240=0

解

6 x^{2} - 84 x + 240 = 0

x = 10, x = 4

解答ステップ

6 x^{2} - 84 x + 240 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 84 ) \pm ( - 84 ) ^{2} - 4 \cdot 6 \cdot 240}{2 \cdot 6}

(- 84)^{2} - 4 \cdot 6 \cdot 240 = 36

x_{1, 2} = \frac{- ( - 84 ) \pm 36}{2 \cdot 6}

解を分離する

x_{1} = \frac{- ( - 84 ) + 36}{2 \cdot 6}, x_{2} = \frac{- ( - 84 ) - 36}{2 \cdot 6}

x = \frac{- ( - 84 ) + 36}{2 \cdot 6} : 10

x = \frac{- ( - 84 ) - 36}{2 \cdot 6} : 4

二次equationの解:

x = 10, x = 4