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

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

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

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

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factor

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

x = 3, x = i, x = - i

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 3 = 0 : x = 3

Solve

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

The solutions are

x = 3, x = i, x = - i

10 x + 0.5 x^{2} - 0.001 x^{3} - 5000 = 0

x^{4} - x^{2} = 7 x^{2} + 9

- x^{3} + 4 x^{2} - 9 x - 6

12 x^{3} - 20 x^{2} + x + 3

0 = 12 t^{3} - 48 t^{2} + 48 t

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