What are the solutions to the equation 3x^5-20x^3=0 ?

The solutions to the equation 3x^5-20x^3=0 are x=0,x=-(2sqrt(5))/(sqrt(3)),x=(2sqrt(5))/(sqrt(3))

Find the zeros of 3x^5-20x^3=0

The zeros of 3x^5-20x^3=0 are x=0,x=-(2sqrt(5))/(sqrt(3)),x=(2sqrt(5))/(sqrt(3))

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3 x^{5} - 20 x^{3} = 0

x = 0, x = - \frac{2 5}{3}, x = \frac{2 5}{3}

Decimal Notation

x = 0, x = - 2.58198 \dots, x = 2.58198 \dots

Solution steps

3 x^{5} - 20 x^{3} = 0

Factor

3 x^{5} - 20 x^{3} : x^{3} (3 x + 25) (3 x - 25)

x^{3} (3 x + 25) (3 x - 25) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 3 x + 25 = 0 or 3 x - 25 = 0

Solve

3 x + 25 = 0 : x = - \frac{2 5}{3}

Solve

3 x - 25 = 0 : x = \frac{2 5}{3}

The solutions are

x = 0, x = - \frac{2 5}{3}, x = \frac{2 5}{3}

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

(X - 2) (X + 4) (X - 5) = 0

5 x^{4} = 80 x^{2}

- 3 x^{3} + 75 x = 0

x^{3} = \frac{1}{64}

What are the solutions to the equation 3x^5-20x^3=0 ?
The solutions to the equation 3x^5-20x^3=0 are x=0,x=-(2sqrt(5))/(sqrt(3)),x=(2sqrt(5))/(sqrt(3))
Find the zeros of 3x^5-20x^3=0
The zeros of 3x^5-20x^3=0 are x=0,x=-(2sqrt(5))/(sqrt(3)),x=(2sqrt(5))/(sqrt(3))