What are the solutions to the equation x^3=4x ?

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

Find the zeros of x^3=4x

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

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x^{3} = 4 x

x = 0, x = - 2, x = 2

Solution steps

x^{3} = 4 x

Move

4 x

to the left side

x^{3} - 4 x = 0

Factor

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

x (x + 2) (x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 2 = 0 or x - 2 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x - 2 = 0 : x = 2

The solutions are

x = 0, x = - 2, x = 2

z^{3} = - 27 i

x^{3} - 2 = 0

x^{3} - 6 x^{2} + 8 x = 0

x^{3} - 5 x^{2} + 5 x - 25 = 0

- x^{3} + 13 x^{2} - 56 x + 80 = 0

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