t^3=-343

解答

t^{3} = - 343

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

求解步骤

t^{3} = - 343

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}

t = 3 - 343, t = 3 - 343 \frac{- 1 + 3 i}{2}, t = 3 - 343 \frac{- 1 - 3 i}{2}

3 - 343 = - 7

化简

3 - 343 \frac{- 1 + 3 i}{2} : \frac{7}{2} - \frac{7 3}{2} i

化简

3 - 343 \frac{- 1 - 3 i}{2} : \frac{7}{2} + \frac{7 3}{2} i

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

\frac{b ^{3}}{3} = - \frac{1}{3}

5 x^{3} - 7 x^{2} + 4 x - 8 = 0

2 x^{4} - 4 x^{3} - 4^{2} + 6 x + 9 = 0

x^{3} + 20 x^{2} + 64 x - 100 = 0

- 3 x (36 x^{2} - 25) (x^{2} - 2) = 0