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

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

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

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

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

m = 2

Solution steps

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

Factor

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

(m - 2)^{3} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

m - 2 = 0

Solve

m - 2 = 0 : m = 2

The solution is

m = 2

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

25 x^{4} + 9 = 34 x^{2}

25 x^{4} - 4 x^{2} = 0

2 x^{3} + 12 x^{2} + 18 x = 0

x^{2} (x^{2} - 4) = 0

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