What are the solutions to the equation y^3-3y-2=0 ?

The solutions to the equation y^3-3y-2=0 are y=-1,y=2

Find the zeros of y^3-3y-2=0

The zeros of y^3-3y-2=0 are y=-1,y=2

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

y = - 1, y = 2

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y + 1 = 0 or y - 2 = 0

Solve

y + 1 = 0 : y = - 1

Solve

y - 2 = 0 : y = 2

The solutions are

y = - 1, y = 2

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

x^{4} - 17 x^{2} + 16 = 0

x^{5} = 89

d (x^{3} + 8) - (x + 2) (x - 4) = 0

(x - 1)^{3} = \frac{1}{8}

What are the solutions to the equation y^3-3y-2=0 ?
The solutions to the equation y^3-3y-2=0 are y=-1,y=2
Find the zeros of y^3-3y-2=0
The zeros of y^3-3y-2=0 are y=-1,y=2