solvefor x,4x^2-3kx+10=0

解

x, 4 x^{2} - 3 k x + 10 = 0

x = \frac{3 k + 9 k ^{2} - 160}{8}, x = \frac{3 k - 9 k ^{2} - 160}{8}

解答ステップ

4 x^{2} - 3 k x + 10 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 3 k ) \pm ( - 3 k ) ^{2} - 4 \cdot 4 \cdot 10}{2 \cdot 4}

簡素化

(- 3 k)^{2} - 4 \cdot 4 \cdot 10 : 9 k^{2} - 160

x_{1, 2} = \frac{- ( - 3 k ) \pm 9 k ^{2} - 160}{2 \cdot 4}

解を分離する

x_{1} = \frac{- ( - 3 k ) + 9 k ^{2} - 160}{2 \cdot 4}, x_{2} = \frac{- ( - 3 k ) - 9 k ^{2} - 160}{2 \cdot 4}

x = \frac{- ( - 3 k ) + 9 k ^{2} - 160}{2 \cdot 4} : \frac{3 k + 9 k ^{2} - 160}{8}

x = \frac{- ( - 3 k ) - 9 k ^{2} - 160}{2 \cdot 4} : \frac{3 k - 9 k ^{2} - 160}{8}

二次equationの解:

x = \frac{3 k + 9 k ^{2} - 160}{8}, x = \frac{3 k - 9 k ^{2} - 160}{8}