x^2-6x-160=0

解

x^{2} - 6 x - 160 = 0

x = 16, x = - 10

解答ステップ

x^{2} - 6 x - 160 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 160 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 160) = 26

x_{1, 2} = \frac{- ( - 6 ) \pm 26}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 6 ) + 26}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 26}{2 \cdot 1}

x = \frac{- ( - 6 ) + 26}{2 \cdot 1} : 16

x = \frac{- ( - 6 ) - 26}{2 \cdot 1} : - 10

二次equationの解:

x = 16, x = - 10