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

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

Find the zeros of y+y^3=0

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

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y + y^{3} = 0

y = 0, y = i, y = - i

Solution steps

y + y^{3} = 0

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

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

The solutions are

y = 0, y = i, y = - i

- x^{4} - x^{3} + 7 x^{2} + x - 6 = 0

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

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

x^{3} - 5 x^{2} - 7 x + 51 = 0

x^{5} = i

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