What are the solutions to the equation 4x^3=256x ?

The solutions to the equation 4x^3=256x are x=0,x=-8,x=8

Find the zeros of 4x^3=256x

The zeros of 4x^3=256x are x=0,x=-8,x=8

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4 x^{3} = 256 x

x = 0, x = - 8, x = 8

Solution steps

4 x^{3} = 256 x

Move

256 x

to the left side

4 x^{3} - 256 x = 0

Factor

4 x^{3} - 256 x : 4 x (x + 8) (x - 8)

4 x (x + 8) (x - 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 8 = 0 or x - 8 = 0

Solve

x + 8 = 0 : x = - 8

Solve

x - 8 = 0 : x = 8

The solutions are

x = 0, x = - 8, x = 8

2 x^{4} + 8 x^{2} + 5 = 0

x, x^{3} = 27

a, a^{3} + b^{3} = 8

x^{3} + 27 + x^{2} - 6 x - 27 = 0

7 = x^{3} - 1

What are the solutions to the equation 4x^3=256x ?
The solutions to the equation 4x^3=256x are x=0,x=-8,x=8
Find the zeros of 4x^3=256x
The zeros of 4x^3=256x are x=0,x=-8,x=8