What are the solutions to the equation x^5-5x^3-36x=0 ?

The solutions to the equation x^5-5x^3-36x=0 are x=0,x=2i,x=-2i,x=-3,x=3

Find the zeros of x^5-5x^3-36x=0

The zeros of x^5-5x^3-36x=0 are x=0,x=2i,x=-2i,x=-3,x=3

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x^{5} - 5 x^{3} - 36 x = 0

x = 0, x = 2 i, x = - 2 i, x = - 3, x = 3

Solution steps

x^{5} - 5 x^{3} - 36 x = 0

Factor

x^{5} - 5 x^{3} - 36 x : x (x^{2} + 4) (x + 3) (x - 3)

x (x^{2} + 4) (x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x^{2} + 4 = 0 : x = 2 i, x = - 2 i

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = 2 i, x = - 2 i, x = - 3, x = 3

x^{3} - x^{2} - 15 x - 25 = 0

x^{5} + x^{4} + 2 x^{3} + x^{2} + 2 x + 3

x^{3} + 3 x^{2} + 3 x = 0

- 4 x^{4} + x^{3} + x^{2} + x + 3.5 = 0

200 s^{3} + 332 s^{2} + 223 s + 2 = 0

What are the solutions to the equation x^5-5x^3-36x=0 ?
The solutions to the equation x^5-5x^3-36x=0 are x=0,x=2i,x=-2i,x=-3,x=3
Find the zeros of x^5-5x^3-36x=0
The zeros of x^5-5x^3-36x=0 are x=0,x=2i,x=-2i,x=-3,x=3