What are the solutions to the equation v^3-4v=0 ?

The solutions to the equation v^3-4v=0 are v=0,v=-2,v=2

Find the zeros of v^3-4v=0

The zeros of v^3-4v=0 are v=0,v=-2,v=2

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v^{3} - 4 v = 0

v = 0, v = - 2, v = 2

Solution steps

v^{3} - 4 v = 0

Factor

v^{3} - 4 v : v (v + 2) (v - 2)

v (v + 2) (v - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

v = 0 or v + 2 = 0 or v - 2 = 0

Solve

v + 2 = 0 : v = - 2

Solve

v - 2 = 0 : v = 2

The solutions are

v = 0, v = - 2, v = 2

4 x^{3} - 256 x = 0

x, x^{3} + y^{3} + z^{3} = 42

- 6 x^{4} + 38 x^{3} - 45 x^{2} + 26 x - 5

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

2 x^{4} = - 64

What are the solutions to the equation v^3-4v=0 ?
The solutions to the equation v^3-4v=0 are v=0,v=-2,v=2
Find the zeros of v^3-4v=0
The zeros of v^3-4v=0 are v=0,v=-2,v=2