find the sum of squares of all roots of the equation. `x^(8) - x^(7) + x^(6) -x^(5) + x^(4) -x^(3) +x^(2)-x + 1 =0`

Explanation

To find the sum of squares of all roots of the equation

\[ x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1 = 0, \]

we can follow these steps:

### Step 1: Rewrite the equation
We start with the equation as it is:
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