What are the solutions to the equation 3x^3-x^2+3x-1=0 ?

The solutions to the equation 3x^3-x^2+3x-1=0 are x= 1/3 ,x=i,x=-i

Find the zeros of 3x^3-x^2+3x-1=0

The zeros of 3x^3-x^2+3x-1=0 are x= 1/3 ,x=i,x=-i

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3 x^{3} - x^{2} + 3 x - 1 = 0

x = \frac{1}{3}, x = i, x = - i

Solution steps

3 x^{3} - x^{2} + 3 x - 1 = 0

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3 x - 1 = 0 or x^{2} + 1 = 0

Solve

3 x - 1 = 0 : x = \frac{1}{3}

Solve

x^{2} + 1 = 0 : x = i, x = - i

The solutions are

x = \frac{1}{3}, x = i, x = - i

50 x - 25 = 2 x^{3} - x^{2}

x^{3} + 729 = 0

2 x^{3} + 3 x^{2} - 10 x - 15 = 0

z^{5} + 32 i = 0

(x + 2 b) (3 x^{2} - 16 x + 5) = 0

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