What are the solutions to the equation 12x^5-108x^3=0 ?

The solutions to the equation 12x^5-108x^3=0 are x=0,x=-3,x=3

Find the zeros of 12x^5-108x^3=0

The zeros of 12x^5-108x^3=0 are x=0,x=-3,x=3

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12 x^{5} - 108 x^{3} = 0

x = 0, x = - 3, x = 3

Solution steps

12 x^{5} - 108 x^{3} = 0

Factor

12 x^{5} - 108 x^{3} : 12 x^{3} (x + 3) (x - 3)

12 x^{3} (x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 3 = 0 or x - 3 = 0

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = - 3, x = 3

e = 1.6 \times 10 e^{12}

x, 0 = x^{4} - 12 x^{3} - 42 x^{2} + 11

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

x^{5} + x^{3} + x + 1 = 0

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

What are the solutions to the equation 12x^5-108x^3=0 ?
The solutions to the equation 12x^5-108x^3=0 are x=0,x=-3,x=3
Find the zeros of 12x^5-108x^3=0
The zeros of 12x^5-108x^3=0 are x=0,x=-3,x=3