What are the solutions to the equation x^5-8x^3-9x=0 ?

The solutions to the equation x^5-8x^3-9x=0 are x=0,x=i,x=-i,x=-3,x=3

Find the zeros of x^5-8x^3-9x=0

The zeros of x^5-8x^3-9x=0 are x=0,x=i,x=-i,x=-3,x=3

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x^{5} - 8 x^{3} - 9 x = 0

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

Solution steps

x^{5} - 8 x^{3} - 9 x = 0

Factor

x^{5} - 8 x^{3} - 9 x : x (x^{2} + 1) (x + 3) (x - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

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

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

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

0 = 4 x^{3} - 36 x^{2} - 84 x

x^{4} + 8 x^{3} + 6 x^{2} - 5 x + 14 = 0

24 x^{5} + 10 x^{4} - x^{3} - 19 x^{2} - 5 x + 6 = 0

x^{4} + 4 x^{2} - 117 = 0

t^{3} + 4 t^{2} - 44 t - 96 = 0

What are the solutions to the equation x^5-8x^3-9x=0 ?
The solutions to the equation x^5-8x^3-9x=0 are x=0,x=i,x=-i,x=-3,x=3
Find the zeros of x^5-8x^3-9x=0
The zeros of x^5-8x^3-9x=0 are x=0,x=i,x=-i,x=-3,x=3