What are the solutions to the equation x^5+8x^3=0 ?

The solutions to the equation x^5+8x^3=0 are x=0,x=2sqrt(2)i,x=-2sqrt(2)i

Find the zeros of x^5+8x^3=0

The zeros of x^5+8x^3=0 are x=0,x=2sqrt(2)i,x=-2sqrt(2)i

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

x = 0, x = 22 i, x = - 22 i

Solution steps

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

Factor

x^{5} + 8 x^{3} : x^{3} (x^{2} + 8)

x^{3} (x^{2} + 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x^{2} + 8 = 0 : x = 22 i, x = - 22 i

The solutions are

x = 0, x = 22 i, x = - 22 i

0.001 x^{3} - 2 x + 30 = 0

4 x^{9} = 12 x^{3}

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

(25 - x^{2})^{2} = 0

27 x^{3} - (x - 1)^{3} = 0

What are the solutions to the equation x^5+8x^3=0 ?
The solutions to the equation x^5+8x^3=0 are x=0,x=2sqrt(2)i,x=-2sqrt(2)i
Find the zeros of x^5+8x^3=0
The zeros of x^5+8x^3=0 are x=0,x=2sqrt(2)i,x=-2sqrt(2)i