What are the solutions to the equation (8n)^3=8^6 ?

The solutions to the equation (8n)^3=8^6 are n=8,n=-4+4sqrt(3)i,n=-4-4sqrt(3)i

Find the zeros of (8n)^3=8^6

The zeros of (8n)^3=8^6 are n=8,n=-4+4sqrt(3)i,n=-4-4sqrt(3)i

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(8 n)^{3} = 8^{6}

n = 8, n = - 4 + 43 i, n = - 4 - 43 i

Solution steps

(8 n)^{3} = 8^{6}

8^{6} = 262144

(8 n)^{3} = 262144

For

g^{3} (x) = f (a)

the solutions are

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

Solve

8 n = 3262144 : n = 8

Solve

8 n = 3262144 \frac{- 1 + 3 i}{2} : n = - 4 + 43 i

Solve

8 n = 3262144 \frac{- 1 - 3 i}{2} : n = - 4 - 43 i

The solutions are

n = 8, n = - 4 + 43 i, n = - 4 - 43 i

- x^{3} - 3 x + 65 = 0

6 x^{4} - 13 x^{2} + 5 = 0

x^{4} - 5 = 0

x^{3} + 3 x + 4 = 0

x^{4} - 6 x^{2} - 7 = 0

What are the solutions to the equation (8n)^3=8^6 ?
The solutions to the equation (8n)^3=8^6 are n=8,n=-4+4sqrt(3)i,n=-4-4sqrt(3)i
Find the zeros of (8n)^3=8^6
The zeros of (8n)^3=8^6 are n=8,n=-4+4sqrt(3)i,n=-4-4sqrt(3)i