What are the solutions to the equation x^9-x^7+x^5-x^3+x=0 ?

The solutions to the equation x^9-x^7+x^5-x^3+x=0 are x=0

Find the zeros of x^9-x^7+x^5-x^3+x=0

The zeros of x^9-x^7+x^5-x^3+x=0 are x=0

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x^{9} - x^{7} + x^{5} - x^{3} + x = 0

x = 0

Solution steps

x^{9} - x^{7} + x^{5} - x^{3} + x = 0

Factor

x^{9} - x^{7} + x^{5} - x^{3} + x : x (x^{8} - x^{6} + x^{4} - x^{2} + 1)

x (x^{8} - x^{6} + x^{4} - x^{2} + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{8} - x^{6} + x^{4} - x^{2} + 1 = 0

Solve

x^{8} - x^{6} + x^{4} - x^{2} + 1 = 0 :

No Solution for

x \in R

The solution is

x = 0

x^{4} - x^{3} - x - 1 = 0

3 x^{5} - 48 x^{3} = 0

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

786000 = 247000 e^{17}

60 x - 3 x^{2} - 3 x^{3} = 0

What are the solutions to the equation x^9-x^7+x^5-x^3+x=0 ?
The solutions to the equation x^9-x^7+x^5-x^3+x=0 are x=0
Find the zeros of x^9-x^7+x^5-x^3+x=0
The zeros of x^9-x^7+x^5-x^3+x=0 are x=0