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

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

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

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

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2 x^{3} - x = 0

x = 0, x = - \frac{1}{2}, x = \frac{1}{2}

Decimal Notation

x = 0, x = - 0.70710 \dots, x = 0.70710 \dots

Solution steps

2 x^{3} - x = 0

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x + 1 = 0 or 2 x - 1 = 0

Solve

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

Solve

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

The solutions are

x = 0, x = - \frac{1}{2}, x = \frac{1}{2}

z^{3} + 4 z^{2} + 6 z + 4 = 0

- a^{3} + 6 a^{2} + 135 a + 400 = 0

(8 n)^{3} = 8^{6}

- x^{3} - 3 x + 65 = 0

6 x^{4} - 13 x^{2} + 5 = 0

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