6x^2+42x+36=0

解

6 x^{2} + 42 x + 36 = 0

x = - 1, x = - 6

解答ステップ

6 x^{2} + 42 x + 36 = 0

解くとthe二次式

x_{1, 2} = \frac{- 42 \pm 4 2 ^{2} - 4 \cdot 6 \cdot 36}{2 \cdot 6}

4 2^{2} - 4 \cdot 6 \cdot 36 = 30

x_{1, 2} = \frac{- 42 \pm 30}{2 \cdot 6}

解を分離する

x_{1} = \frac{- 42 + 30}{2 \cdot 6}, x_{2} = \frac{- 42 - 30}{2 \cdot 6}

x = \frac{- 42 + 30}{2 \cdot 6} : - 1

x = \frac{- 42 - 30}{2 \cdot 6} : - 6

二次equationの解:

x = - 1, x = - 6