What are the solutions to the equation 8x^5=32768x ?

The solutions to the equation 8x^5=32768x are x=0,x=8i,x=-8i,x=-8,x=8

Find the zeros of 8x^5=32768x

The zeros of 8x^5=32768x are x=0,x=8i,x=-8i,x=-8,x=8

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8 x^{5} = 32768 x

x = 0, x = 8 i, x = - 8 i, x = - 8, x = 8

Solution steps

8 x^{5} = 32768 x

Move

32768 x

to the left side

8 x^{5} - 32768 x = 0

Factor

8 x^{5} - 32768 x : 8 x (x^{2} + 64) (x + 8) (x - 8)

8 x (x^{2} + 64) (x + 8) (x - 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 64 = 0 or x + 8 = 0 or x - 8 = 0

Solve

x^{2} + 64 = 0 : x = 8 i, x = - 8 i

Solve

x + 8 = 0 : x = - 8

Solve

x - 8 = 0 : x = 8

The solutions are

x = 0, x = 8 i, x = - 8 i, x = - 8, x = 8

(2 + x)^{3} - 2 = 2.8 + (- 3)^{2}

2 x^{3} - 3 x^{2} - 23 x + 12 = 0

4 = x^{5} + 2 x + 1

t, M = \frac{5}{8} π t^{5}

\frac{x ^{3} - 2}{2} = 11

What are the solutions to the equation 8x^5=32768x ?
The solutions to the equation 8x^5=32768x are x=0,x=8i,x=-8i,x=-8,x=8
Find the zeros of 8x^5=32768x
The zeros of 8x^5=32768x are x=0,x=8i,x=-8i,x=-8,x=8