x^2-250x+10000=0

解

x^{2} - 250 x + 10000 = 0

x = 200, x = 50

解答ステップ

x^{2} - 250 x + 10000 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 250 ) \pm ( - 250 ) ^{2} - 4 \cdot 1 \cdot 10000}{2 \cdot 1}

(- 250)^{2} - 4 \cdot 1 \cdot 10000 = 150

x_{1, 2} = \frac{- ( - 250 ) \pm 150}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 250 ) + 150}{2 \cdot 1}, x_{2} = \frac{- ( - 250 ) - 150}{2 \cdot 1}

x = \frac{- ( - 250 ) + 150}{2 \cdot 1} : 200

x = \frac{- ( - 250 ) - 150}{2 \cdot 1} : 50

二次equationの解:

x = 200, x = 50