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

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

Find the zeros of y^3=9y

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

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y^{3} = 9 y

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

Solution steps

y^{3} = 9 y

Move

9 y

to the left side

y^{3} - 9 y = 0

Factor

y^{3} - 9 y : 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

b^{3} = 125

0 = x^{4} + 8 x^{2} - 9

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

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

x^{3} - 36 = 0

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