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

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

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

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

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

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

Solution steps

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

Factor

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

x (x^{2} - 3 x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} - 3 x + 3 = 0

Solve

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

The solutions are

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

x^{4} - 4 x^{3} + 8 x^{2} - 16 x + 16 = 0

w^{3} = 512

3 x^{4} - 2 x^{3} + 2 x^{2} - 8 x - 40 = 0

x, x^{1000} + y^{1000} = 5

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

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