2x^2+10x+12=0

解

2 x^{2} + 10 x + 12 = 0

x = - 2, x = - 3

解答ステップ

2 x^{2} + 10 x + 12 = 0

解くとthe二次式

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 2 \cdot 12}{2 \cdot 2}

1 0^{2} - 4 \cdot 2 \cdot 12 = 2

x_{1, 2} = \frac{- 10 \pm 2}{2 \cdot 2}

解を分離する

x_{1} = \frac{- 10 + 2}{2 \cdot 2}, x_{2} = \frac{- 10 - 2}{2 \cdot 2}

x = \frac{- 10 + 2}{2 \cdot 2} : - 2

x = \frac{- 10 - 2}{2 \cdot 2} : - 3

二次equationの解:

x = - 2, x = - 3