x^2-18x-144=0

解

x^{2} - 18 x - 144 = 0

x = 24, x = - 6

解答ステップ

x^{2} - 18 x - 144 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 1 \cdot ( - 144 )}{2 \cdot 1}

(- 18)^{2} - 4 \cdot 1 \cdot (- 144) = 30

x_{1, 2} = \frac{- ( - 18 ) \pm 30}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 18 ) + 30}{2 \cdot 1}, x_{2} = \frac{- ( - 18 ) - 30}{2 \cdot 1}

x = \frac{- ( - 18 ) + 30}{2 \cdot 1} : 24

x = \frac{- ( - 18 ) - 30}{2 \cdot 1} : - 6

二次equationの解:

x = 24, x = - 6