What are the solutions to the equation 2x^3+54=0 ?

The solutions to the equation 2x^3+54=0 are x=-3,x= 3/2-(3sqrt(3))/2 i,x= 3/2+(3sqrt(3))/2 i

Find the zeros of 2x^3+54=0

The zeros of 2x^3+54=0 are x=-3,x= 3/2-(3sqrt(3))/2 i,x= 3/2+(3sqrt(3))/2 i

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2 x^{3} + 54 = 0

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

Solution steps

2 x^{3} + 54 = 0

Move

54

to the right side

2 x^{3} = - 54

Divide both sides by

2

x^{3} = - 27

For

x^{3} = f (a)

the solutions are

Simplify

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

3 (x^{2} + 5 x + 1)^{2} + 2 x^{2} + 10 x = 3

x^{3} - 6 x - 4

x^{4} = x^{3}

3 x^{3} + 4 x^{2} = 12 x + 16

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

What are the solutions to the equation 2x^3+54=0 ?
The solutions to the equation 2x^3+54=0 are x=-3,x= 3/2-(3sqrt(3))/2 i,x= 3/2+(3sqrt(3))/2 i
Find the zeros of 2x^3+54=0
The zeros of 2x^3+54=0 are x=-3,x= 3/2-(3sqrt(3))/2 i,x= 3/2+(3sqrt(3))/2 i