4x^2+16x-48=0

解

4 x^{2} + 16 x - 48 = 0

x = 2, x = - 6

解答ステップ

4 x^{2} + 16 x - 48 = 0

解くとthe二次式

x_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 \cdot 4 ( - 48 )}{2 \cdot 4}

1 6^{2} - 4 \cdot 4 (- 48) = 32

x_{1, 2} = \frac{- 16 \pm 32}{2 \cdot 4}

解を分離する

x_{1} = \frac{- 16 + 32}{2 \cdot 4}, x_{2} = \frac{- 16 - 32}{2 \cdot 4}

x = \frac{- 16 + 32}{2 \cdot 4} : 2

x = \frac{- 16 - 32}{2 \cdot 4} : - 6

二次equationの解:

x = 2, x = - 6