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受欢迎的代数 >

q^3= 1/8

解答

q^{3} = \frac{1}{8}

解答

q = \frac{1}{2}, q = - \frac{1}{4} + \frac{3}{4} i, q = - \frac{1}{4} - \frac{3}{4} i

求解步骤

q^{3} = \frac{1}{8}

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}

q = 3 \frac{1}{8}, q = 3 \frac{1}{8} \frac{- 1 + 3 i}{2}, q = 3 \frac{1}{8} \frac{- 1 - 3 i}{2}

3 \frac{1}{8} = \frac{1}{2}

化简

3 \frac{1}{8} \frac{- 1 + 3 i}{2} : - \frac{1}{4} + \frac{3}{4} i

化简

3 \frac{1}{8} \frac{- 1 - 3 i}{2} : - \frac{1}{4} - \frac{3}{4} i

q = \frac{1}{2}, q = - \frac{1}{4} + \frac{3}{4} i, q = - \frac{1}{4} - \frac{3}{4} i

作图

流行的例子

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

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

2x^3-6x^2-20x=0

2 x^{3} - 6 x^{2} - 20 x = 0

x^{4} - 12 x^{2} + 36 = 0

12x^3-30x^2-24x+12=0

12 x^{3} - 30 x^{2} - 24 x + 12 = 0

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

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