What are the solutions to the equation x^3-6x^2+12x-8=0 ?

The solutions to the equation x^3-6x^2+12x-8=0 are x=2

Find the zeros of x^3-6x^2+12x-8=0

The zeros of x^3-6x^2+12x-8=0 are x=2

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x^{3} - 6 x^{2} + 12 x - 8 = 0

x = 2

Solution steps

x^{3} - 6 x^{2} + 12 x - 8 = 0

Factor

x^{3} - 6 x^{2} + 12 x - 8 : (x - 2)^{3}

(x - 2)^{3} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0

Solve

x - 2 = 0 : x = 2

The solution is

x = 2

x^{3} + 5 x^{2} - 4 x - 20 = 0

w^{6} = - 2^{6}

x^{4} - 41 x^{2} + 400 = 0

w^{4} - 18 w^{2} + 81 = 0

9 x^{4} - 24 x^{3} + 16 x^{2} = 0

What are the solutions to the equation x^3-6x^2+12x-8=0 ?
The solutions to the equation x^3-6x^2+12x-8=0 are x=2
Find the zeros of x^3-6x^2+12x-8=0
The zeros of x^3-6x^2+12x-8=0 are x=2