What are the solutions to the equation roots x^3-6x^2+11x-6=0 ?

The solutions to the equation roots x^3-6x^2+11x-6=0 are x=1,x=2,x=3

Find the zeros of roots x^3-6x^2+11x-6=0

The zeros of roots x^3-6x^2+11x-6=0 are x=1,x=2,x=3

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roots

x^{3} - 6 x^{2} + 11 x - 6 = 0

x = 1, x = 2, x = 3

Solution steps

x^{3} - 6 x^{2} + 11 x - 6 = 0

Factor

x^{3} - 6 x^{2} + 11 x - 6 : (x - 1) (x - 2) (x - 3)

(x - 1) (x - 2) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x - 2 = 0 or x - 3 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 2 = 0 : x = 2

Solve

x - 3 = 0 : x = 3

The solutions are

x = 1, x = 2, x = 3

z^{5} - z = 0

1 + z^{4} = 0

x^{3} + 8 x^{2} = 0

x^{3} + 8 x^{2} + 11 x - 20 = 0

(1 + x)^{3} = 0

What are the solutions to the equation roots x^3-6x^2+11x-6=0 ?
The solutions to the equation roots x^3-6x^2+11x-6=0 are x=1,x=2,x=3
Find the zeros of roots x^3-6x^2+11x-6=0
The zeros of roots x^3-6x^2+11x-6=0 are x=1,x=2,x=3