If a – 1/(a – 3) = 4, then find the value of (a – 3)^2 + 1/(a – 3)^2.
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Answer:
a-1=4a-12
-3a=-11
a=11/3
(a-3)²+1/(a-3)²
=(11/3-3)²+1/(11/3-3)²
=(2/3)²+1/(2/3)²
=4/9+9/4
=2.69
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