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

The solutions to the equation y=y^3 are y=0,y=-1,y=1

Find the zeros of y=y^3

The zeros of y=y^3 are y=0,y=-1,y=1

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y = y^{3}

y = 0, y = - 1, y = 1

Solution steps

y = y^{3}

Switch sides

y^{3} = y

Move

y

to the left side

y^{3} - y = 0

Factor

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

y (y + 1) (y - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y = 0 or y + 1 = 0 or y - 1 = 0

Solve

y + 1 = 0 : y = - 1

Solve

y - 1 = 0 : y = 1

The solutions are

y = 0, y = - 1, y = 1

5 n x^{4} (\frac{1}{5})^{3} = 125

4 x^{4} + x - 3 = 5 x^{5} + x - 6

4 x + 8 = 6 x^{5} - 4

x^{4} - 4 x^{2} + 32 = 0

(d^{2} + 1)^{3} = 0

What are the solutions to the equation y=y^3 ?
The solutions to the equation y=y^3 are y=0,y=-1,y=1
Find the zeros of y=y^3
The zeros of y=y^3 are y=0,y=-1,y=1