What are the solutions to the equation (x^3)/3-4x=0 ?

The solutions to the equation (x^3)/3-4x=0 are x=0,x=-2sqrt(3),x=2sqrt(3)

Find the zeros of (x^3)/3-4x=0

The zeros of (x^3)/3-4x=0 are x=0,x=-2sqrt(3),x=2sqrt(3)

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\frac{x ^{3}}{3} - 4 x = 0

x = 0, x = - 23, x = 23

Solution steps

\frac{x ^{3}}{3} - 4 x = 0

Factor

\frac{x ^{3}}{3} - 4 x : x (\frac{1}{3} x + 2) (\frac{1}{3} x - 2)

x (\frac{1}{3} x + 2) (\frac{1}{3} x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or \frac{1}{3} x + 2 = 0 or \frac{1}{3} x - 2 = 0

Solve

\frac{1}{3} x + 2 = 0 : x = - 23

Solve

\frac{1}{3} x - 2 = 0 : x = 23

The solutions are

x = 0, x = - 23, x = 23

(x - 7) (x + 1) (x - 9) = 0

x^{5} - 13 x^{3} + 36 x = 0

x^{4} - 2 x^{3} + 5 x^{2} - 6 x + 6 = 0

x^{6} + 36 = 100

(2 x - 1) (x^{2} - 14) = 0

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