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

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

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

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

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

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

Solution steps

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

Move

27 m^{3}

to the left side

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^{3} - 4 x^{2} - 8 x - 10 = 0

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

27 x^{3} - 9 x^{2} - 12 x + 4 = 0

4 x^{3} + 15 x^{2} + 16 x + 6 = 0

2 t^{3} - 2 t^{2} - 3 t + 2 = 0

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