u^2-u-30=0

解

u^{2} - u - 30 = 0

u = 6, u = - 5

解答ステップ

u^{2} - u - 30 = 0

解くとthe二次式

u_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 1 \cdot ( - 30 )}{2 \cdot 1}

(- 1)^{2} - 4 \cdot 1 \cdot (- 30) = 11

u_{1, 2} = \frac{- ( - 1 ) \pm 11}{2 \cdot 1}

解を分離する

u_{1} = \frac{- ( - 1 ) + 11}{2 \cdot 1}, u_{2} = \frac{- ( - 1 ) - 11}{2 \cdot 1}

u = \frac{- ( - 1 ) + 11}{2 \cdot 1} : 6

u = \frac{- ( - 1 ) - 11}{2 \cdot 1} : - 5

二次equationの解:

u = 6, u = - 5