6x^2+78x+240=0

解

6 x^{2} + 78 x + 240 = 0

x = - 5, x = - 8

解答ステップ

6 x^{2} + 78 x + 240 = 0

解くとthe二次式

x_{1, 2} = \frac{- 78 \pm 7 8 ^{2} - 4 \cdot 6 \cdot 240}{2 \cdot 6}

7 8^{2} - 4 \cdot 6 \cdot 240 = 18

x_{1, 2} = \frac{- 78 \pm 18}{2 \cdot 6}

解を分離する

x_{1} = \frac{- 78 + 18}{2 \cdot 6}, x_{2} = \frac{- 78 - 18}{2 \cdot 6}

x = \frac{- 78 + 18}{2 \cdot 6} : - 5

x = \frac{- 78 - 18}{2 \cdot 6} : - 8

二次equationの解:

x = - 5, x = - 8