What are the solutions to the equation x^3=2^{30} ?

The solutions to the equation x^3=2^{30} are x=1024,x=-512+512sqrt(3)i,x=-512-512sqrt(3)i

Find the zeros of x^3=2^{30}

The zeros of x^3=2^{30} are x=1024,x=-512+512sqrt(3)i,x=-512-512sqrt(3)i

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x^{3} = 2^{30}

x = 1024, x = - 512 + 5123 i, x = - 512 - 5123 i

Solution steps

x^{3} = 2^{30}

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 2^{30}, x = 3 2^{30} \frac{- 1 + 3 i}{2}, x = 3 2^{30} \frac{- 1 - 3 i}{2}

3 2^{30} = 1024

Simplify

3 2^{30} \frac{- 1 + 3 i}{2} : - 512 + 5123 i

Simplify

3 2^{30} \frac{- 1 - 3 i}{2} : - 512 - 5123 i

x = 1024, x = - 512 + 5123 i, x = - 512 - 5123 i

x^{3} - 16 x^{2} + 55 x + 72 = 0

- x^{4} - 8 x^{3} + 20 x^{2} = 0

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

2 x^{3} + 9 x^{2} - 24 x - 12 = 0

x^{3} - 2 x^{2} - 5 x + 6

What are the solutions to the equation x^3=2^{30} ?
The solutions to the equation x^3=2^{30} are x=1024,x=-512+512sqrt(3)i,x=-512-512sqrt(3)i
Find the zeros of x^3=2^{30}
The zeros of x^3=2^{30} are x=1024,x=-512+512sqrt(3)i,x=-512-512sqrt(3)i