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

The solutions to the equation -3x^5+5x^3=0 are x=0,x=-sqrt(5/3),x=sqrt(5/3)

Find the zeros of -3x^5+5x^3=0

The zeros of -3x^5+5x^3=0 are x=0,x=-sqrt(5/3),x=sqrt(5/3)

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

x = 0, x = - \frac{5}{3}, x = \frac{5}{3}

Solution steps

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

Factor

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

- x^{3} (3 x + 5) (3 x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 3 x + 5 = 0 or 3 x - 5 = 0

Solve

3 x + 5 = 0 : x = - \frac{5}{3}

Solve

3 x - 5 = 0 : x = \frac{5}{3}

The solutions are

x = 0, x = - \frac{5}{3}, x = \frac{5}{3}

524442 = 411536 (1 + x)^{14}

n^{3} = \frac{27}{343}

45 x^{4} + 30 x^{3} + 5 x^{2} = 0

10 a^{3} = 640

4 t^{3} - 30 t^{2} + 58 t - 36 = 0

What are the solutions to the equation -3x^5+5x^3=0 ?
The solutions to the equation -3x^5+5x^3=0 are x=0,x=-sqrt(5/3),x=sqrt(5/3)
Find the zeros of -3x^5+5x^3=0
The zeros of -3x^5+5x^3=0 are x=0,x=-sqrt(5/3),x=sqrt(5/3)