x^2-10x-600=0

解

x^{2} - 10 x - 600 = 0

x = 30, x = - 20

解答ステップ

x^{2} - 10 x - 600 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot ( - 600 )}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot (- 600) = 50

x_{1, 2} = \frac{- ( - 10 ) \pm 50}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 10 ) + 50}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 50}{2 \cdot 1}

x = \frac{- ( - 10 ) + 50}{2 \cdot 1} : 30

x = \frac{- ( - 10 ) - 50}{2 \cdot 1} : - 20

二次equationの解:

x = 30, x = - 20