If a is 6-sqrt35, find the value of a^2 + 1/a^2
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a=6-_/35
1/a=1/(6-_/35)
=(6+_/35)(6^2-35)
=6+_/35
(rationalised the denominator)
So,
a^2+1/a^2=(6-_/35)^2(6+_/35)^2
=36+35-12_/35 +36+35+12_/35
=71+71
=142...
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