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

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

Find the zeros of 3x^5=5x^3

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

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3 x^{5} = 5 x^{3}

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}

Move

5 x^{3}

to the left side

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}

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

- 13 + 8 x^{3} = - 77

36 y^{2} - 27 y = 12 y^{3}

2 (- 2 + r^{7}) + 1 + r^{8} + 4 + r^{6} = 1

x^{3} + 3 x^{2} + 3 x + 2 = x + 2

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