What are the solutions to the equation 16x^3=54 ?

The solutions to the equation 16x^3=54 are x= 3/2 ,x=-3/4+(3sqrt(3))/4 i,x=-3/4-(3sqrt(3))/4 i

Find the zeros of 16x^3=54

The zeros of 16x^3=54 are x= 3/2 ,x=-3/4+(3sqrt(3))/4 i,x=-3/4-(3sqrt(3))/4 i

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16 x^{3} = 54

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

Solution steps

16 x^{3} = 54

Divide both sides by

16

x^{3} = \frac{27}{8}

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 = 3 \frac{27}{8}, x = 3 \frac{27}{8} \frac{- 1 + 3 i}{2}, x = 3 \frac{27}{8} \frac{- 1 - 3 i}{2}

3 \frac{27}{8} = \frac{3}{2}

Simplify

3 \frac{27}{8} \frac{- 1 + 3 i}{2} : - \frac{3}{4} + \frac{3 3}{4} i

Simplify

3 \frac{27}{8} \frac{- 1 - 3 i}{2} : - \frac{3}{4} - \frac{3 3}{4} i

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

x^{3} + x^{2} - 2

n^{6} - n^{3} = 2

x^{3} + 10.6 x^{2} + 7 x + 10

16 x^{5} - 8 x^{3} + x = 0

x^{4} + 5 x^{2} + 4

What are the solutions to the equation 16x^3=54 ?
The solutions to the equation 16x^3=54 are x= 3/2 ,x=-3/4+(3sqrt(3))/4 i,x=-3/4-(3sqrt(3))/4 i
Find the zeros of 16x^3=54
The zeros of 16x^3=54 are x= 3/2 ,x=-3/4+(3sqrt(3))/4 i,x=-3/4-(3sqrt(3))/4 i