x^2-11x-26=0

解

x^{2} - 11 x - 26 = 0

x = 13, x = - 2

解答ステップ

x^{2} - 11 x - 26 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 1 \cdot ( - 26 )}{2 \cdot 1}

(- 11)^{2} - 4 \cdot 1 \cdot (- 26) = 15

x_{1, 2} = \frac{- ( - 11 ) \pm 15}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 11 ) + 15}{2 \cdot 1}, x_{2} = \frac{- ( - 11 ) - 15}{2 \cdot 1}

x = \frac{- ( - 11 ) + 15}{2 \cdot 1} : 13

x = \frac{- ( - 11 ) - 15}{2 \cdot 1} : - 2

二次equationの解:

x = 13, x = - 2