What are the solutions to the equation 3x^3+21x^5=0 ?

The solutions to the equation 3x^3+21x^5=0 are x=0,x= 1/(sqrt(7))i,x=-1/(sqrt(7))i

Find the zeros of 3x^3+21x^5=0

The zeros of 3x^3+21x^5=0 are x=0,x= 1/(sqrt(7))i,x=-1/(sqrt(7))i

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3 x^{3} + 21 x^{5} = 0

x = 0, x = \frac{1}{7} i, x = - \frac{1}{7} i

Solution steps

3 x^{3} + 21 x^{5} = 0

Factor

3 x^{3} + 21 x^{5} : 3 x^{3} (7 x^{2} + 1)

3 x^{3} (7 x^{2} + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 7 x^{2} + 1 = 0

Solve

7 x^{2} + 1 = 0 : x = \frac{1}{7} i, x = - \frac{1}{7} i

The solutions are

x = 0, x = \frac{1}{7} i, x = - \frac{1}{7} i

x^{5} - x^{4} - 2 x^{3} + 2 x^{2} = 0

2 x^{4} - 3 x^{3} - 12 x^{2} - 6 x + 5 = 0

3 x^{3} + 19 x^{2} + 21 x + 5 = 0

3 x^{3} + 4 x^{2} - 45 x - 60 = 0

x^{4} + 34 x^{2} + 225 = 0

What are the solutions to the equation 3x^3+21x^5=0 ?
The solutions to the equation 3x^3+21x^5=0 are x=0,x= 1/(sqrt(7))i,x=-1/(sqrt(7))i
Find the zeros of 3x^3+21x^5=0
The zeros of 3x^3+21x^5=0 are x=0,x= 1/(sqrt(7))i,x=-1/(sqrt(7))i