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受欢迎的代数 >

solvefor x,6x^2(m+2)x+3=0

解答

求解

x, 6 x^{2} (m + 2) x + 3 = 0

解答

x = - \frac{1}{3 2 ( m + 2 )}, x = \frac{1}{2 3 2 ( m + 2 )} - \frac{3}{2 3 2 ( m + 2 )} i, x = \frac{1}{2 3 2 ( m + 2 )} + \frac{3}{2 3 2 ( m + 2 )} i; m \neq = - 2

求解步骤

6 x^{2} (m + 2) x + 3 = 0

将

3

到右边

6 x^{2} (m + 2) x = - 3

化简

6 x^{3} (m + 2) = - 3

两边除以

6 (m + 2); m \neq = - 2

\frac{6 x ^{3} ( m + 2 )}{6 ( m + 2 )} = \frac{- 3}{6 ( m + 2 )}; m \neq = - 2

x^{3} = - \frac{1}{2 ( m + 2 )}; m \neq = - 2

对于

x^{3} = f (a)

解为

x = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

x = 3 - \frac{1}{2 ( m + 2 )}, x = 3 - \frac{1}{2 ( m + 2 )} \frac{- 1 + 3 i}{2}, x = 3 - \frac{1}{2 ( m + 2 )} \frac{- 1 - 3 i}{2}; m \neq = - 2

化简

3 - \frac{1}{2 ( m + 2 )} : - \frac{1}{3 2 ( m + 2 )}

化简

3 - \frac{1}{2 ( m + 2 )} \frac{- 1 + 3 i}{2} : \frac{1}{2 3 2 ( m + 2 )} - \frac{3}{2 3 2 ( m + 2 )} i

化简

3 - \frac{1}{2 ( m + 2 )} \frac{- 1 - 3 i}{2} : \frac{1}{2 3 2 ( m + 2 )} + \frac{3}{2 3 2 ( m + 2 )} i

x = - \frac{1}{3 2 ( m + 2 )}, x = \frac{1}{2 3 2 ( m + 2 )} - \frac{3}{2 3 2 ( m + 2 )} i, x = \frac{1}{2 3 2 ( m + 2 )} + \frac{3}{2 3 2 ( m + 2 )} i; m \neq = - 2

作图

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