What are the solutions to the equation x^3-0.25x=0 ?

The solutions to the equation x^3-0.25x=0 are x=0,x=-0.5,x=0.5

Find the zeros of x^3-0.25x=0

The zeros of x^3-0.25x=0 are x=0,x=-0.5,x=0.5

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x^{3} - 0.25 x = 0

x = 0, x = - 0.5, x = 0.5

Solution steps

x^{3} - 0.25 x = 0

Factor

x^{3} - 0.25 x : x (x + 0.25) (x - 0.25)

x (x + 0.25) (x - 0.25) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 0.25 = 0 or x - 0.25 = 0

Solve

x + 0.25 = 0 : x = - 0.5

Solve

x - 0.25 = 0 : x = 0.5

The solutions are

x = 0, x = - 0.5, x = 0.5

9 x^{5} = 144 x^{3}

x^{3} - 4 x^{2} - x = - 4

3 x^{3} - 5 = 0

(x^{2} - x - 22)^{4} = 4096

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

What are the solutions to the equation x^3-0.25x=0 ?
The solutions to the equation x^3-0.25x=0 are x=0,x=-0.5,x=0.5
Find the zeros of x^3-0.25x=0
The zeros of x^3-0.25x=0 are x=0,x=-0.5,x=0.5