6x^2+18x-60=0

解

6 x^{2} + 18 x - 60 = 0

x = 2, x = - 5

解答ステップ

6 x^{2} + 18 x - 60 = 0

解くとthe二次式

x_{1, 2} = \frac{- 18 \pm 1 8 ^{2} - 4 \cdot 6 ( - 60 )}{2 \cdot 6}

1 8^{2} - 4 \cdot 6 (- 60) = 42

x_{1, 2} = \frac{- 18 \pm 42}{2 \cdot 6}

解を分離する

x_{1} = \frac{- 18 + 42}{2 \cdot 6}, x_{2} = \frac{- 18 - 42}{2 \cdot 6}

x = \frac{- 18 + 42}{2 \cdot 6} : 2

x = \frac{- 18 - 42}{2 \cdot 6} : - 5

二次equationの解:

x = 2, x = - 5