solvefor x,4x^2-8kx=0

解

x, 4 x^{2} - 8 k x = 0

x = 2 k, x = 0

解答ステップ

4 x^{2} - 8 k x = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 8 k ) \pm ( - 8 k ) ^{2} - 4 \cdot 4 \cdot 0}{2 \cdot 4}

簡素化

(- 8 k)^{2} - 4 \cdot 4 \cdot 0 : 8 k

x_{1, 2} = \frac{- ( - 8 k ) \pm 8 k}{2 \cdot 4}

解を分離する

x_{1} = \frac{- ( - 8 k ) + 8 k}{2 \cdot 4}, x_{2} = \frac{- ( - 8 k ) - 8 k}{2 \cdot 4}

x = \frac{- ( - 8 k ) + 8 k}{2 \cdot 4} : 2 k

x = \frac{- ( - 8 k ) - 8 k}{2 \cdot 4} : 0

二次equationの解:

x = 2 k, x = 0