What are the solutions to the equation solvefor x,4x^3-2x=0 ?

The solutions to the equation solvefor x,4x^3-2x=0 are x=0,x=-1/(sqrt(2)),x= 1/(sqrt(2))

Find the zeros of solvefor x,4x^3-2x=0

The zeros of solvefor x,4x^3-2x=0 are x=0,x=-1/(sqrt(2)),x= 1/(sqrt(2))

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solve for

x, 4 x^{3} - 2 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

4 x^{3} - 2 x = 0

Factor

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

2 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}

y, 8 y - 8 x^{3} = 0

x^{3} - 6 x^{2} + 9 x - 8 = 0

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

4 x^{5} - 5 x^{4} + 5 x^{3} + 11 x^{2} - 24 x + 12 = 0

y, x^{4} + y^{4} = x^{2} y^{2}

What are the solutions to the equation solvefor x,4x^3-2x=0 ?
The solutions to the equation solvefor x,4x^3-2x=0 are x=0,x=-1/(sqrt(2)),x= 1/(sqrt(2))
Find the zeros of solvefor x,4x^3-2x=0
The zeros of solvefor x,4x^3-2x=0 are x=0,x=-1/(sqrt(2)),x= 1/(sqrt(2))