solvefor x,kx^2+36x+k=0

解

x, k x^{2} + 36 x + k = 0

x = \frac{- 18 + - k ^{2} + 324}{k}, x = - \frac{- k ^{2} + 324 + 18}{k}; k \neq = 0

解答ステップ

k x^{2} + 36 x + k = 0

解くとthe二次式

x_{1, 2} = \frac{- 36 \pm 3 6 ^{2} - 4 kk}{2 k}

簡素化

3 6^{2} - 4 kk : 2 324 - k^{2}

x_{1, 2} = \frac{- 36 \pm 2 324 - k ^{2}}{2 k}; k \neq = 0

解を分離する

x_{1} = \frac{- 36 + 2 324 - k ^{2}}{2 k}, x_{2} = \frac{- 36 - 2 324 - k ^{2}}{2 k}

x = \frac{- 36 + 2 324 - k ^{2}}{2 k} : \frac{- 18 + - k ^{2} + 324}{k}

x = \frac{- 36 - 2 324 - k ^{2}}{2 k} : - \frac{- k ^{2} + 324 + 18}{k}

二次equationの解:

x = \frac{- 18 + - k ^{2} + 324}{k}, x = - \frac{- k ^{2} + 324 + 18}{k}; k \neq = 0