What are the solutions to the equation x^9+2x^7+x+1=1 ?

The solutions to the equation x^9+2x^7+x+1=1 are x=0

Find the zeros of x^9+2x^7+x+1=1

The zeros of x^9+2x^7+x+1=1 are x=0

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x^{9} + 2 x^{7} + x + 1 = 1

x = 0

Solution steps

x^{9} + 2 x^{7} + x + 1 = 1

Move

1

to the right side

x^{9} + 2 x^{7} + x = 0

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x^{2} + 1 = 0 :

No Solution for

x \in R

Solve

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

No Solution for

x \in R

The solution is

x = 0

x^{3} + 1 = 4 x^{2}

9 x^{8} - 8 x^{9} = 0.75

x^{3} - 27

4 x^{3} + 5 x^{2} - 16 x - 20 = 0

x^{3} + 6 x^{2} - 9 x - 54 = 0

What are the solutions to the equation x^9+2x^7+x+1=1 ?
The solutions to the equation x^9+2x^7+x+1=1 are x=0
Find the zeros of x^9+2x^7+x+1=1
The zeros of x^9+2x^7+x+1=1 are x=0