g^2-13g-48=0

解

g^{2} - 13 g - 48 = 0

g = 16, g = - 3

解答ステップ

g^{2} - 13 g - 48 = 0

解くとthe二次式

g_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 1 \cdot ( - 48 )}{2 \cdot 1}

(- 13)^{2} - 4 \cdot 1 \cdot (- 48) = 19

g_{1, 2} = \frac{- ( - 13 ) \pm 19}{2 \cdot 1}

解を分離する

g_{1} = \frac{- ( - 13 ) + 19}{2 \cdot 1}, g_{2} = \frac{- ( - 13 ) - 19}{2 \cdot 1}

g = \frac{- ( - 13 ) + 19}{2 \cdot 1} : 16

g = \frac{- ( - 13 ) - 19}{2 \cdot 1} : - 3

二次equationの解:

g = 16, g = - 3