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受欢迎的代数 >

solvefor x,x^2(m-2)x+2m-8=0

解答

求解

x, x^{2} (m - 2) x + 2 m - 8 = 0

解答

x = 3 \frac{- 2 m + 8}{m - 2}, x = - \frac{3 \frac{- 2 m + 8}{m - 2}}{2} + \frac{3 \frac{- 2 m + 8}{m - 2} 3}{2} i, x = - \frac{3 \frac{- 2 m + 8}{m - 2}}{2} - \frac{3 \frac{- 2 m + 8}{m - 2} 3}{2} i; m \neq = 2

求解步骤

x^{2} (m - 2) x + 2 m - 8 = 0

将

2 m

到右边

x^{2} (m - 2) x - 8 = - 2 m

将

8

到右边

x^{2} (m - 2) x = - 2 m + 8

化简

x^{3} (m - 2) = - 2 m + 8

两边除以

m - 2; m \neq = 2

\frac{x ^{3} ( m - 2 )}{m - 2} = \frac{- 2 m + 8}{m - 2}; m \neq = 2

x^{3} = \frac{- 2 m + 8}{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{- 2 m + 8}{m - 2}, x = 3 \frac{- 2 m + 8}{m - 2} \frac{- 1 + 3 i}{2}, x = 3 \frac{- 2 m + 8}{m - 2} \frac{- 1 - 3 i}{2}; m \neq = 2

化简

3 \frac{- 2 m + 8}{m - 2} \frac{- 1 + 3 i}{2} : - \frac{3 \frac{- 2 m + 8}{m - 2}}{2} + \frac{3 \frac{- 2 m + 8}{m - 2} 3}{2} i

化简

3 \frac{- 2 m + 8}{m - 2} \frac{- 1 - 3 i}{2} : - \frac{3 \frac{- 2 m + 8}{m - 2}}{2} - \frac{3 \frac{- 2 m + 8}{m - 2} 3}{2} i

x = 3 \frac{- 2 m + 8}{m - 2}, x = - \frac{3 \frac{- 2 m + 8}{m - 2}}{2} + \frac{3 \frac{- 2 m + 8}{m - 2} 3}{2} i, x = - \frac{3 \frac{- 2 m + 8}{m - 2}}{2} - \frac{3 \frac{- 2 m + 8}{m - 2} 3}{2} i; m \neq = 2

作图

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