x^2-6x-55=0

解

x^{2} - 6 x - 55 = 0

x = 11, x = - 5

解答ステップ

x^{2} - 6 x - 55 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 55 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 55) = 16

x_{1, 2} = \frac{- ( - 6 ) \pm 16}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 6 ) + 16}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 16}{2 \cdot 1}

x = \frac{- ( - 6 ) + 16}{2 \cdot 1} : 11

x = \frac{- ( - 6 ) - 16}{2 \cdot 1} : - 5

二次equationの解:

x = 11, x = - 5