x^2+14x-240=0

解

x^{2} + 14 x - 240 = 0

x = 10, x = - 24

解答ステップ

x^{2} + 14 x - 240 = 0

解くとthe二次式

x_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 \cdot 1 \cdot ( - 240 )}{2 \cdot 1}

1 4^{2} - 4 \cdot 1 \cdot (- 240) = 34

x_{1, 2} = \frac{- 14 \pm 34}{2 \cdot 1}

解を分離する

x_{1} = \frac{- 14 + 34}{2 \cdot 1}, x_{2} = \frac{- 14 - 34}{2 \cdot 1}

x = \frac{- 14 + 34}{2 \cdot 1} : 10

x = \frac{- 14 - 34}{2 \cdot 1} : - 24

二次equationの解:

x = 10, x = - 24