x^2-300x+12500=0

解

x^{2} - 300 x + 12500 = 0

x = 250, x = 50

解答ステップ

x^{2} - 300 x + 12500 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 300 ) \pm ( - 300 ) ^{2} - 4 \cdot 1 \cdot 12500}{2 \cdot 1}

(- 300)^{2} - 4 \cdot 1 \cdot 12500 = 200

x_{1, 2} = \frac{- ( - 300 ) \pm 200}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 300 ) + 200}{2 \cdot 1}, x_{2} = \frac{- ( - 300 ) - 200}{2 \cdot 1}

x = \frac{- ( - 300 ) + 200}{2 \cdot 1} : 250

x = \frac{- ( - 300 ) - 200}{2 \cdot 1} : 50

二次equationの解:

x = 250, x = 50