What are the solutions to the equation 8x^3-6x=0 ?

The solutions to the equation 8x^3-6x=0 are x=0,x=-(sqrt(3))/2 ,x=(sqrt(3))/2

Find the zeros of 8x^3-6x=0

The zeros of 8x^3-6x=0 are x=0,x=-(sqrt(3))/2 ,x=(sqrt(3))/2

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8 x^{3} - 6 x = 0

x = 0, x = - \frac{3}{2}, x = \frac{3}{2}

Decimal Notation

x = 0, x = - 0.86602 \dots, x = 0.86602 \dots

Solution steps

8 x^{3} - 6 x = 0

Factor

8 x^{3} - 6 x : 2 x (2 x + 3) (2 x - 3)

2 x (2 x + 3) (2 x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x + 3 = 0 or 2 x - 3 = 0

Solve

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

Solve

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

The solutions are

x = 0, x = - \frac{3}{2}, x = \frac{3}{2}

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

48.46 x^{3} + 12.6 x - 0.005 = 0

10 x^{4} + 3 x^{2} = 1

3 x^{5} = 5 x^{3}

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

What are the solutions to the equation 8x^3-6x=0 ?
The solutions to the equation 8x^3-6x=0 are x=0,x=-(sqrt(3))/2 ,x=(sqrt(3))/2
Find the zeros of 8x^3-6x=0
The zeros of 8x^3-6x=0 are x=0,x=-(sqrt(3))/2 ,x=(sqrt(3))/2