solvefor x,x^2-kx+64=0

解

x, x^{2} - k x + 64 = 0

x = \frac{k + k ^{2} - 256}{2}, x = \frac{k - k ^{2} - 256}{2}

解答ステップ

x^{2} - k x + 64 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - k ) \pm ( - k ) ^{2} - 4 \cdot 1 \cdot 64}{2 \cdot 1}

簡素化

(- k)^{2} - 4 \cdot 1 \cdot 64 : k^{2} - 256

x_{1, 2} = \frac{- ( - k ) \pm k ^{2} - 256}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - k ) + k ^{2} - 256}{2 \cdot 1}, x_{2} = \frac{- ( - k ) - k ^{2} - 256}{2 \cdot 1}

x = \frac{- ( - k ) + k ^{2} - 256}{2 \cdot 1} : \frac{k + k ^{2} - 256}{2}

x = \frac{- ( - k ) - k ^{2} - 256}{2 \cdot 1} : \frac{k - k ^{2} - 256}{2}

二次equationの解:

x = \frac{k + k ^{2} - 256}{2}, x = \frac{k - k ^{2} - 256}{2}