What are the solutions to the equation x^3-9x^2+27x-27=0 ?

The solutions to the equation x^3-9x^2+27x-27=0 are x=3

Find the zeros of x^3-9x^2+27x-27=0

The zeros of x^3-9x^2+27x-27=0 are x=3

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x^{3} - 9 x^{2} + 27 x - 27 = 0

x = 3

Solution steps

x^{3} - 9 x^{2} + 27 x - 27 = 0

Factor

x^{3} - 9 x^{2} + 27 x - 27 : (x - 3)^{3}

(x - 3)^{3} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 3 = 0

Solve

x - 3 = 0 : x = 3

The solution is

x = 3

2 x^{3} + 3 x^{2} = 8 x + 12

x^{3} - 8 = x - 2

(3^{3})^{2} = n^{6}

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

2 x^{3} - 13 x^{2} + 36 = 0

What are the solutions to the equation x^3-9x^2+27x-27=0 ?
The solutions to the equation x^3-9x^2+27x-27=0 are x=3
Find the zeros of x^3-9x^2+27x-27=0
The zeros of x^3-9x^2+27x-27=0 are x=3