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

The solutions to the equation 0=x^3+x are x=0,x=i,x=-i

Find the zeros of 0=x^3+x

The zeros of 0=x^3+x are x=0,x=i,x=-i

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0 = x^{3} + x

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

Solution steps

0 = x^{3} + x

Switch sides

x^{3} + x = 0

Factor

x^{3} + x : x (x^{2} + 1)

x (x^{2} + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 1 = 0

Solve

x^{2} + 1 = 0 : x = i, x = - i

The solutions are

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

x^{6} + 3 x^{4} + 3 x^{2} + 1 = 0

z^{4} + 5 z^{2} - 36 = 0

3 x^{3} - 54 x^{2} + 240 x = 0

x, 3 x^{2} = λ (4 x^{3})

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

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