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)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Decimal Notation

x = 0, x = - 1.29099 \dots, x = 1.29099 \dots

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}

60 x^{5} + 120 x^{4} + 60 x^{3} = 0

3 x n = 2 x^{9}

6 x^{4} = 48 x

x^{2} - x^{5} + 6 = 0

5 x^{3} - 23 x^{2} + 29 x - 15 = 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)