Are you smarter than me? 42

Algebra Level 5

If x2x1{ x }^{ 2 }-x-1 is a factor of zx45+yx44+1,{ zx }^{45}+{ yx }^{44}+1, what is the value of z?\lvert z\rvert?

Note: xx is a variable, while yy and zz are constants.

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