What are the solutions to the equation m^5-4m^4+4m^3=0 ?

The solutions to the equation m^5-4m^4+4m^3=0 are m=0,m=2

Find the zeros of m^5-4m^4+4m^3=0

The zeros of m^5-4m^4+4m^3=0 are m=0,m=2

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m^{5} - 4 m^{4} + 4 m^{3} = 0

m = 0, m = 2

Solution steps

m^{5} - 4 m^{4} + 4 m^{3} = 0

Factor

m^{5} - 4 m^{4} + 4 m^{3} : m^{3} (m - 2)^{2}

m^{3} (m - 2)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

m = 0 or m - 2 = 0

Solve

m - 2 = 0 : m = 2

The solutions are

m = 0, m = 2

3 x^{6} - 39 x^{4} + 108 x^{2} = 0

16 x^{4} - 625 = 0

x^{4} - 6 x^{2} + 8 x - 3 = 0

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

x^{3} - 15 x^{2} + 79 x - 145 = 0

What are the solutions to the equation m^5-4m^4+4m^3=0 ?
The solutions to the equation m^5-4m^4+4m^3=0 are m=0,m=2
Find the zeros of m^5-4m^4+4m^3=0
The zeros of m^5-4m^4+4m^3=0 are m=0,m=2