3x^2+30x+27=0

解

3 x^{2} + 30 x + 27 = 0

x = - 1, x = - 9

解答ステップ

3 x^{2} + 30 x + 27 = 0

解くとthe二次式

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 \cdot 3 \cdot 27}{2 \cdot 3}

3 0^{2} - 4 \cdot 3 \cdot 27 = 24

x_{1, 2} = \frac{- 30 \pm 24}{2 \cdot 3}

解を分離する

x_{1} = \frac{- 30 + 24}{2 \cdot 3}, x_{2} = \frac{- 30 - 24}{2 \cdot 3}

x = \frac{- 30 + 24}{2 \cdot 3} : - 1

x = \frac{- 30 - 24}{2 \cdot 3} : - 9

二次equationの解:

x = - 1, x = - 9