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Math sucks! And my math language knowledge also sucks...
Anyways, you can't use ^2 as common factor (!)
From going to this line:
=>4^2 - 9*4 + 81/4 = 5^2 - 9*5 + 81/4
To that line:
=>(4 - 9/2)^2 = (5 - 9/2)^2
I think this is your mistake..
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