x^2+100x-7500=0

解

x^{2} + 100 x - 7500 = 0

x = 50, x = - 150

解答ステップ

x^{2} + 100 x - 7500 = 0

解くとthe二次式

x_{1, 2} = \frac{- 100 \pm 10 0 ^{2} - 4 \cdot 1 \cdot ( - 7500 )}{2 \cdot 1}

10 0^{2} - 4 \cdot 1 \cdot (- 7500) = 200

x_{1, 2} = \frac{- 100 \pm 200}{2 \cdot 1}

解を分離する

x_{1} = \frac{- 100 + 200}{2 \cdot 1}, x_{2} = \frac{- 100 - 200}{2 \cdot 1}

x = \frac{- 100 + 200}{2 \cdot 1} : 50

x = \frac{- 100 - 200}{2 \cdot 1} : - 150

二次equationの解:

x = 50, x = - 150