What are the solutions to the equation x^3+6x=0 ?

The solutions to the equation x^3+6x=0 are x=0,x=sqrt(6)i,x=-sqrt(6)i

Find the zeros of x^3+6x=0

The zeros of x^3+6x=0 are x=0,x=sqrt(6)i,x=-sqrt(6)i

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x^{3} + 6 x = 0

x = 0, x = 6 i, x = - 6 i

Solution steps

x^{3} + 6 x = 0

Factor

x^{3} + 6 x : x (x^{2} + 6)

x (x^{2} + 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 6 = 0

Solve

x^{2} + 6 = 0 : x = 6 i, x = - 6 i

The solutions are

x = 0, x = 6 i, x = - 6 i

16 m^{4} + 48 m^{2} + 36 = 0

x^{3} - x^{2} - 400 = 0

9 - 16 x^{5} - 5 x = 7

(x^{2} - 7 x + 11) x^{2} - 13 x + 42 = 1

x^{(4)} - 13 x^{(2)} + 36 = 0

What are the solutions to the equation x^3+6x=0 ?
The solutions to the equation x^3+6x=0 are x=0,x=sqrt(6)i,x=-sqrt(6)i
Find the zeros of x^3+6x=0
The zeros of x^3+6x=0 are x=0,x=sqrt(6)i,x=-sqrt(6)i