x^2-200x+9600=0

解

x^{2} - 200 x + 9600 = 0

x = 120, x = 80

解答ステップ

x^{2} - 200 x + 9600 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 200 ) \pm ( - 200 ) ^{2} - 4 \cdot 1 \cdot 9600}{2 \cdot 1}

(- 200)^{2} - 4 \cdot 1 \cdot 9600 = 40

x_{1, 2} = \frac{- ( - 200 ) \pm 40}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 200 ) + 40}{2 \cdot 1}, x_{2} = \frac{- ( - 200 ) - 40}{2 \cdot 1}

x = \frac{- ( - 200 ) + 40}{2 \cdot 1} : 120

x = \frac{- ( - 200 ) - 40}{2 \cdot 1} : 80

二次equationの解:

x = 120, x = 80