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受欢迎的代数 >

6x^3+14=0

解答

6 x^{3} + 14 = 0

解答

x = - 3 \frac{7}{3}, x = - \frac{3 7 ( - 1 + 3 i )}{2 3 3}, x = - \frac{3 7 ( - 1 - 3 i )}{2 3 3}

求解步骤

6 x^{3} + 14 = 0

将

14

到右边

6 x^{3} = - 14

两边除以

6

x^{3} = - \frac{7}{3}

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{7}{3}, x = 3 - \frac{7}{3} \frac{- 1 + 3 i}{2}, x = 3 - \frac{7}{3} \frac{- 1 - 3 i}{2}

3 - \frac{7}{3} = - 3 \frac{7}{3}

化简

3 - \frac{7}{3} \frac{- 1 + 3 i}{2} : - \frac{3 7 ( - 1 + 3 i )}{2 3 3}

化简

3 - \frac{7}{3} \frac{- 1 - 3 i}{2} : - \frac{3 7 ( - 1 - 3 i )}{2 3 3}

x = - 3 \frac{7}{3}, x = - \frac{3 7 ( - 1 + 3 i )}{2 3 3}, x = - \frac{3 7 ( - 1 - 3 i )}{2 3 3}

作图

流行的例子

3x^4+4x^3-12x^2+12=0

3 x^{4} + 4 x^{3} - 12 x^{2} + 12 = 0

44 = (x)^{19}

solvefor w,w^3=-2+2sqrt(3)i

so l v e f or w, w^{3} = - 2 + 23 i

0=2x^3-10x^2+x-5

0 = 2 x^{3} - 10 x^{2} + x - 5

x (x + 5) (x + 7) = 0