x^2-22x-75=0

解

x^{2} - 22 x - 75 = 0

x = 25, x = - 3

解答ステップ

x^{2} - 22 x - 75 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 22 ) \pm ( - 22 ) ^{2} - 4 \cdot 1 \cdot ( - 75 )}{2 \cdot 1}

(- 22)^{2} - 4 \cdot 1 \cdot (- 75) = 28

x_{1, 2} = \frac{- ( - 22 ) \pm 28}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 22 ) + 28}{2 \cdot 1}, x_{2} = \frac{- ( - 22 ) - 28}{2 \cdot 1}

x = \frac{- ( - 22 ) + 28}{2 \cdot 1} : 25

x = \frac{- ( - 22 ) - 28}{2 \cdot 1} : - 3

二次equationの解:

x = 25, x = - 3