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

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

Find the zeros of r^3+r=0

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

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r^{3} + r = 0

r = 0, r = i, r = - i

Solution steps

r^{3} + r = 0

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

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

The solutions are

r = 0, r = i, r = - i

2 x^{4} - 19 x^{2} + 9 = 0

x^{3} - x^{2} + 3 x + 1 = 0

26.28 = 0.15 x^{3} + 0.3 x^{2}

x^{3} + 4 x^{2} + x + 4

x^{3} + x^{2} - x - 1

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