4n^2-4n-24=0

解

4 n^{2} - 4 n - 24 = 0

n = 3, n = - 2

解答ステップ

4 n^{2} - 4 n - 24 = 0

解くとthe二次式

n_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 4 ( - 24 )}{2 \cdot 4}

(- 4)^{2} - 4 \cdot 4 (- 24) = 20

n_{1, 2} = \frac{- ( - 4 ) \pm 20}{2 \cdot 4}

解を分離する

n_{1} = \frac{- ( - 4 ) + 20}{2 \cdot 4}, n_{2} = \frac{- ( - 4 ) - 20}{2 \cdot 4}

n = \frac{- ( - 4 ) + 20}{2 \cdot 4} : 3

n = \frac{- ( - 4 ) - 20}{2 \cdot 4} : - 2

二次equationの解:

n = 3, n = - 2