What are the solutions to the equation 5x^5-44x^3-9x=0 ?

The solutions to the equation 5x^5-44x^3-9x=0 are x=0,x= 1/(sqrt(5))i,x=-1/(sqrt(5))i,x=-3,x=3

Find the zeros of 5x^5-44x^3-9x=0

The zeros of 5x^5-44x^3-9x=0 are x=0,x= 1/(sqrt(5))i,x=-1/(sqrt(5))i,x=-3,x=3

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5 x^{5} - 44 x^{3} - 9 x = 0

x = 0, x = \frac{1}{5} i, x = - \frac{1}{5} i, x = - 3, x = 3

Solution steps

5 x^{5} - 44 x^{3} - 9 x = 0

Factor

5 x^{5} - 44 x^{3} - 9 x : x (5 x^{2} + 1) (x + 3) (x - 3)

x (5 x^{2} + 1) (x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 5 x^{2} + 1 = 0 or x + 3 = 0 or x - 3 = 0

Solve

5 x^{2} + 1 = 0 : x = \frac{1}{5} i, x = - \frac{1}{5} i

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = \frac{1}{5} i, x = - \frac{1}{5} i, x = - 3, x = 3

1 x^{4} - 7^{2} x - 4 = 0

x^{4} = \frac{1}{4}

p^{3} - 7 p^{2} - 4 p = - 28

x = 524 x^{3} - 2 x^{2} - 70 x - 75

x^{3} + 3 = 0

What are the solutions to the equation 5x^5-44x^3-9x=0 ?
The solutions to the equation 5x^5-44x^3-9x=0 are x=0,x= 1/(sqrt(5))i,x=-1/(sqrt(5))i,x=-3,x=3
Find the zeros of 5x^5-44x^3-9x=0
The zeros of 5x^5-44x^3-9x=0 are x=0,x= 1/(sqrt(5))i,x=-1/(sqrt(5))i,x=-3,x=3