x^2-200x-150000=0

解

x^{2} - 200 x - 150000 = 0

x = 500, x = - 300

解答ステップ

x^{2} - 200 x - 150000 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 200 ) \pm ( - 200 ) ^{2} - 4 \cdot 1 \cdot ( - 150000 )}{2 \cdot 1}

(- 200)^{2} - 4 \cdot 1 \cdot (- 150000) = 800

x_{1, 2} = \frac{- ( - 200 ) \pm 800}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 200 ) + 800}{2 \cdot 1}, x_{2} = \frac{- ( - 200 ) - 800}{2 \cdot 1}

x = \frac{- ( - 200 ) + 800}{2 \cdot 1} : 500

x = \frac{- ( - 200 ) - 800}{2 \cdot 1} : - 300

二次equationの解:

x = 500, x = - 300