solvefor x,x^2+6mx+m=0

解

x, x^{2} + 6 m x + m = 0

x = - 3 m + m (9 m - 1), x = - 3 m - m (9 m - 1)

解答ステップ

x^{2} + 6 m x + m = 0

解くとthe二次式

x_{1, 2} = \frac{- 6 m \pm ( 6 m ) ^{2} - 4 \cdot 1 \cdot m}{2 \cdot 1}

簡素化

(6 m)^{2} - 4 \cdot 1 \cdot m : 2 m (9 m - 1)

x_{1, 2} = \frac{- 6 m \pm 2 m ( 9 m - 1 )}{2 \cdot 1}

解を分離する

x_{1} = \frac{- 6 m + 2 m ( 9 m - 1 )}{2 \cdot 1}, x_{2} = \frac{- 6 m - 2 m ( 9 m - 1 )}{2 \cdot 1}

x = \frac{- 6 m + 2 m ( 9 m - 1 )}{2 \cdot 1} : - 3 m + m (9 m - 1)

x = \frac{- 6 m - 2 m ( 9 m - 1 )}{2 \cdot 1} : - 3 m - m (9 m - 1)

二次equationの解:

x = - 3 m + m (9 m - 1), x = - 3 m - m (9 m - 1)