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

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

Find the zeros of 4x^3-3x=0

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

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4 x^{3} - 3 x = 0

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

Solution steps

4 x^{3} - 3 x = 0

Factor

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

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}

s^{3} = 1000

(2 A + 1) A^{66} = 0

(r - 1)^{2} (r + 1)^{3} = 0

2 x^{3} + x^{2} - 6 x - 7 = 2 x^{2} + 3 x - 7

4 x^{3} = 756

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