What are the solutions to the equation 4x^3=108 ?

The solutions to the equation 4x^3=108 are x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i

Find the zeros of 4x^3=108

The zeros of 4x^3=108 are x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i

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4 x^{3} = 108

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

Solution steps

4 x^{3} = 108

Divide both sides by

4

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

- x (x + 9) (x^{2} - 9) = 0

2 x^{4} - 9 x^{3} + 6 x^{2} + 11 x - 6 = 0

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

\frac{x ^{3}}{7} - 21 x = 0

2 x^{4} - 3 x^{3} - 7 x^{2} - 8 x + 6 = 0

What are the solutions to the equation 4x^3=108 ?
The solutions to the equation 4x^3=108 are x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i
Find the zeros of 4x^3=108
The zeros of 4x^3=108 are x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i