What are the solutions to the equation 0= 1/3 x^3-2x ?

The solutions to the equation 0= 1/3 x^3-2x are x=0,x=-sqrt(6),x=sqrt(6)

Find the zeros of 0= 1/3 x^3-2x

The zeros of 0= 1/3 x^3-2x are x=0,x=-sqrt(6),x=sqrt(6)

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0 = \frac{1}{3} x^{3} - 2 x

x = 0, x = - 6, x = 6

Decimal Notation

x = 0, x = - 2.44948 \dots, x = 2.44948 \dots

Solution steps

0 = \frac{1}{3} x^{3} - 2 x

Switch sides

\frac{1}{3} x^{3} - 2 x = 0

Factor

\frac{1}{3} x^{3} - 2 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 = - 6

Solve

\frac{1}{3} x - 2 = 0 : x = 6

The solutions are

x = 0, x = - 6, x = 6

x (x - 1) (x - 2) = 0

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

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

x^{3} = 22

x^{3} = 10

What are the solutions to the equation 0= 1/3 x^3-2x ?
The solutions to the equation 0= 1/3 x^3-2x are x=0,x=-sqrt(6),x=sqrt(6)
Find the zeros of 0= 1/3 x^3-2x
The zeros of 0= 1/3 x^3-2x are x=0,x=-sqrt(6),x=sqrt(6)