What are the solutions to the equation roots x^3-27 ?

The solutions to the equation roots x^3-27 are x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i

Find the zeros of roots x^3-27

The zeros of roots x^3-27 are x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i

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roots

x^{3} - 27

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

Solution steps

x^{3} - 27

The roots are the intercepts with the x-axis

(y = 0)

x^{3} - 27 = 0

Move

27

to the right side

x^{3} = 27

For

x^{3} = f (a)

the solutions are

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

x = 327, x = 327 \frac{- 1 + 3 i}{2}, x = 327 \frac{- 1 - 3 i}{2}

327 = 3

Simplify

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

Simplify

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

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

4 x^{3} + 5 x^{2} - 16 x - 20 = 0

x^{3} + 6 x^{2} - 9 x - 54 = 0

1 + x^{8}

(x^{2} - x + 1) (x^{2} - x - 2) = 378

x^{3} + 81 = 0

What are the solutions to the equation roots x^3-27 ?
The solutions to the equation roots x^3-27 are x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i
Find the zeros of roots x^3-27
The zeros of roots x^3-27 are x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i