What are the solutions to the equation 9x^3=x ?

The solutions to the equation 9x^3=x are x=0,x=-1/3 ,x= 1/3

Find the zeros of 9x^3=x

The zeros of 9x^3=x are x=0,x=-1/3 ,x= 1/3

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9 x^{3} = x

x = 0, x = - \frac{1}{3}, x = \frac{1}{3}

Decimal Notation

x = 0, x = - 0.33333 \dots, x = 0.33333 \dots

Solution steps

9 x^{3} = x

Move

x

to the left side

9 x^{3} - x = 0

Factor

9 x^{3} - x : x (3 x + 1) (3 x - 1)

x (3 x + 1) (3 x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 3 x + 1 = 0 or 3 x - 1 = 0

Solve

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

Solve

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

The solutions are

x = 0, x = - \frac{1}{3}, x = \frac{1}{3}

x = \frac{4}{3} π r^{3}, r

3 x^{3} + 15 = 207

x^{3} - 4 x^{2} - 2 x + 12 = 0

2 x^{3} - 4 x^{2} + 7 x - 4 = 0

(x - 1)^{2} (- x + 4)^{2} = 0

What are the solutions to the equation 9x^3=x ?
The solutions to the equation 9x^3=x are x=0,x=-1/3 ,x= 1/3
Find the zeros of 9x^3=x
The zeros of 9x^3=x are x=0,x=-1/3 ,x= 1/3