u^2-11u+30=0

解

u^{2} - 11 u + 30 = 0

u = 6, u = 5

解答ステップ

u^{2} - 11 u + 30 = 0

解くとthe二次式

u_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 1 \cdot 30}{2 \cdot 1}

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

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

解を分離する

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

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

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

二次equationの解:

u = 6, u = 5