solvefor x,2x^2+12sqrt(k)x-16=0

解

x, 2 x^{2} + 12 k x - 16 = 0

x = - 3 k + 9 k + 8, x = - 3 k - 9 k + 8

解答ステップ

2 x^{2} + 12 k x - 16 = 0

解くとthe二次式

x_{1, 2} = \frac{- 12 k \pm ( 12 k ) ^{2} - 4 \cdot 2 ( - 16 )}{2 \cdot 2}

簡素化

(12 k)^{2} - 4 \cdot 2 (- 16) : 4 9 k + 8

x_{1, 2} = \frac{- 12 k \pm 4 9 k + 8}{2 \cdot 2}

解を分離する

x_{1} = \frac{- 12 k + 4 9 k + 8}{2 \cdot 2}, x_{2} = \frac{- 12 k - 4 9 k + 8}{2 \cdot 2}

x = \frac{- 12 k + 4 9 k + 8}{2 \cdot 2} : - 3 k + 9 k + 8

x = \frac{- 12 k - 4 9 k + 8}{2 \cdot 2} : - 3 k - 9 k + 8

二次equationの解:

x = - 3 k + 9 k + 8, x = - 3 k - 9 k + 8