x^2-15x-76=0

解

x^{2} - 15 x - 76 = 0

x = 19, x = - 4

解答ステップ

x^{2} - 15 x - 76 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 \cdot 1 \cdot ( - 76 )}{2 \cdot 1}

(- 15)^{2} - 4 \cdot 1 \cdot (- 76) = 23

x_{1, 2} = \frac{- ( - 15 ) \pm 23}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 15 ) + 23}{2 \cdot 1}, x_{2} = \frac{- ( - 15 ) - 23}{2 \cdot 1}

x = \frac{- ( - 15 ) + 23}{2 \cdot 1} : 19

x = \frac{- ( - 15 ) - 23}{2 \cdot 1} : - 4

二次equationの解:

x = 19, x = - 4