What are the solutions to the equation 9m^5-27m^3=0 ?

The solutions to the equation 9m^5-27m^3=0 are m=0,m=-sqrt(3),m=sqrt(3)

Find the zeros of 9m^5-27m^3=0

The zeros of 9m^5-27m^3=0 are m=0,m=-sqrt(3),m=sqrt(3)

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9 m^{5} - 27 m^{3} = 0

m = 0, m = - 3, m = 3

Decimal Notation

m = 0, m = - 1.73205 \dots, m = 1.73205 \dots

Solution steps

9 m^{5} - 27 m^{3} = 0

Factor

9 m^{5} - 27 m^{3} : 9 m^{3} (m + 3) (m - 3)

9 m^{3} (m + 3) (m - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

m = 0 or m + 3 = 0 or m - 3 = 0

Solve

m + 3 = 0 : m = - 3

Solve

m - 3 = 0 : m = 3

The solutions are

m = 0, m = - 3, m = 3

x^{4} - 4 x^{3} - 6 x^{2} + 4 x + 5 = 0

3 x^{4} + 17 x^{2} - 6 = 0

3 x^{3} - 10 x^{2} - 9 x + 4 = 0

2 x^{5} + 3 x^{4} - 2 x - 3

2 x^{3} + 3 x^{2} - 7 x - 4 = 0

What are the solutions to the equation 9m^5-27m^3=0 ?
The solutions to the equation 9m^5-27m^3=0 are m=0,m=-sqrt(3),m=sqrt(3)
Find the zeros of 9m^5-27m^3=0
The zeros of 9m^5-27m^3=0 are m=0,m=-sqrt(3),m=sqrt(3)