u^2-6u-7=0

解

u^{2} - 6 u - 7 = 0

u = 7, u = - 1

解答ステップ

u^{2} - 6 u - 7 = 0

解くとthe二次式

u_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 7 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 7) = 8

u_{1, 2} = \frac{- ( - 6 ) \pm 8}{2 \cdot 1}

解を分離する

u_{1} = \frac{- ( - 6 ) + 8}{2 \cdot 1}, u_{2} = \frac{- ( - 6 ) - 8}{2 \cdot 1}

u = \frac{- ( - 6 ) + 8}{2 \cdot 1} : 7

u = \frac{- ( - 6 ) - 8}{2 \cdot 1} : - 1

二次equationの解:

u = 7, u = - 1