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# How can I find the roots of 3x^5 - 5x^3?

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- BazzLv 41 decade agoFavorite Answer
Factor x^3 out of the equation 3x^5 - 5x^3 = 0. Then

x^3( 3x^2 - 5) = 0

For the expression to be 0 one of the factors has to be zero.

If 3x^2 -5 = 0, then x^2 = (5/3), or what is the same

x = sqrt(5/3) and x = -sqrt(5/3).

If x^3 = 0, then x = 0.

The roots of the equation are

x = 0 with multiplicity 3

x = sqrt(5/3) and

x = -sqrt(5/3).

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