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

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

Find the zeros of roots x^3-2x^2+x-2

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

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roots

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

x = 2, x = i, x = - i

Solution steps

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

The roots are the intercepts with the x-axis

(y = 0)

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 2 = 0 : x = 2

Solve

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

The solutions are

x = 2, x = i, x = - i

x, (x^{2} + y)^{3} = y

x^{3} - 9 x^{2} + 33 x - 65 = 0

30 x^{3} - 113 x^{2} + 108 x - 30 = 0

y^{4} - 12 y^{2} - 64 = 0

2 x^{3} - 3 x^{2} + 4 x - 6 = 0

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