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受欢迎的代数 >

0=x^3+1

解答

0 = x^{3} + 1

解答

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

求解步骤

0 = x^{3} + 1

交换两边

x^{3} + 1 = 0

将

1

到右边

x^{3} = - 1

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

3 - 1 = - 1

化简

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

化简

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

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

作图

流行的例子

0 = x^{3} + 2

0 = x^{3} - 1

x^4+13x^3+42x^2=0

x^{4} + 13 x^{3} + 42 x^{2} = 0

x^3+7x^2-5x-35=0

x^{3} + 7 x^{2} - 5 x - 35 = 0

solvefor x,y^2=Cx^3+1

so l v e f or x, y^{2} = C x^{3} + 1