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

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

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

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

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r^{3} - 4 r = 0

r = 0, r = - 2, r = 2

Solution steps

r^{3} - 4 r = 0

Factor

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

r (r + 2) (r - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

r = 0 or r + 2 = 0 or r - 2 = 0

Solve

r + 2 = 0 : r = - 2

Solve

r - 2 = 0 : r = 2

The solutions are

r = 0, r = - 2, r = 2

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

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

t = - t^{3} + 10 t^{2} - 29 t + 29

2 x^{3} + 3 x^{2} - 12 x + 6 = 0

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

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