a^2-22a-168=0

解

a^{2} - 22 a - 168 = 0

a = 28, a = - 6

解答ステップ

a^{2} - 22 a - 168 = 0

解くとthe二次式

a_{1, 2} = \frac{- ( - 22 ) \pm ( - 22 ) ^{2} - 4 \cdot 1 \cdot ( - 168 )}{2 \cdot 1}

(- 22)^{2} - 4 \cdot 1 \cdot (- 168) = 34

a_{1, 2} = \frac{- ( - 22 ) \pm 34}{2 \cdot 1}

解を分離する

a_{1} = \frac{- ( - 22 ) + 34}{2 \cdot 1}, a_{2} = \frac{- ( - 22 ) - 34}{2 \cdot 1}

a = \frac{- ( - 22 ) + 34}{2 \cdot 1} : 28

a = \frac{- ( - 22 ) - 34}{2 \cdot 1} : - 6

二次equationの解:

a = 28, a = - 6