What are the solutions to the equation x^5=16x ?

The solutions to the equation x^5=16x are x=0,x=2i,x=-2i,x=-2,x=2

Find the zeros of x^5=16x

The zeros of x^5=16x are x=0,x=2i,x=-2i,x=-2,x=2

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x^{5} = 16 x

x = 0, x = 2 i, x = - 2 i, x = - 2, x = 2

Solution steps

x^{5} = 16 x

Move

16 x

to the left side

x^{5} - 16 x = 0

Factor

x^{5} - 16 x : x (x^{2} + 4) (x + 2) (x - 2)

x (x^{2} + 4) (x + 2) (x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 4 = 0 or x + 2 = 0 or x - 2 = 0

Solve

x^{2} + 4 = 0 : x = 2 i, x = - 2 i

Solve

x + 2 = 0 : x = - 2

Solve

x - 2 = 0 : x = 2

The solutions are

x = 0, x = 2 i, x = - 2 i, x = - 2, x = 2

x^{3} = 14

x^{3} = 23

x^{3} = 20

x^{3} = 54

\frac{x ^{3}}{3} - 4 x = 0

What are the solutions to the equation x^5=16x ?
The solutions to the equation x^5=16x are x=0,x=2i,x=-2i,x=-2,x=2
Find the zeros of x^5=16x
The zeros of x^5=16x are x=0,x=2i,x=-2i,x=-2,x=2