What are the solutions to the equation 9y-y^3=0 ?

The solutions to the equation 9y-y^3=0 are y=0,y=-3,y=3

Find the zeros of 9y-y^3=0

The zeros of 9y-y^3=0 are y=0,y=-3,y=3

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9 y - y^{3} = 0

y = 0, y = - 3, y = 3

Solution steps

9 y - y^{3} = 0

Factor

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

- y (y + 3) (y - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y = 0 or y + 3 = 0 or y - 3 = 0

Solve

y + 3 = 0 : y = - 3

Solve

y - 3 = 0 : y = 3

The solutions are

y = 0, y = - 3, y = 3

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

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

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

p (p - 3)^{2} - 4 (p - 3)^{3} = 0

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

What are the solutions to the equation 9y-y^3=0 ?
The solutions to the equation 9y-y^3=0 are y=0,y=-3,y=3
Find the zeros of 9y-y^3=0
The zeros of 9y-y^3=0 are y=0,y=-3,y=3