x^2-16x-192=0

解

x^{2} - 16 x - 192 = 0

x = 24, x = - 8

解答ステップ

x^{2} - 16 x - 192 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 1 \cdot ( - 192 )}{2 \cdot 1}

(- 16)^{2} - 4 \cdot 1 \cdot (- 192) = 32

x_{1, 2} = \frac{- ( - 16 ) \pm 32}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 16 ) + 32}{2 \cdot 1}, x_{2} = \frac{- ( - 16 ) - 32}{2 \cdot 1}

x = \frac{- ( - 16 ) + 32}{2 \cdot 1} : 24

x = \frac{- ( - 16 ) - 32}{2 \cdot 1} : - 8

二次equationの解:

x = 24, x = - 8