2n^2-16n-130=0

解

2 n^{2} - 16 n - 130 = 0

n = 13, n = - 5

解答ステップ

2 n^{2} - 16 n - 130 = 0

解くとthe二次式

n_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 2 ( - 130 )}{2 \cdot 2}

(- 16)^{2} - 4 \cdot 2 (- 130) = 36

n_{1, 2} = \frac{- ( - 16 ) \pm 36}{2 \cdot 2}

解を分離する

n_{1} = \frac{- ( - 16 ) + 36}{2 \cdot 2}, n_{2} = \frac{- ( - 16 ) - 36}{2 \cdot 2}

n = \frac{- ( - 16 ) + 36}{2 \cdot 2} : 13

n = \frac{- ( - 16 ) - 36}{2 \cdot 2} : - 5

二次equationの解:

n = 13, n = - 5