plz.. anyone who can solve any of these problems or all...
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16..1..a2+24-10a/a-5
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16.
a(a-5)=1
a^2-5a = 1 -eq1
Dividing eq1 by a on both sides
a^2/a -5a/a =1/a
a-5=1/a
a-1/a=5 ans (i)
(ii)
(a-1/a)^2 =a^2+(1/a)^2 - 2a×1/a
5^2 = a^2+1/a ^2-2
25 +2= a^2+ 1/a^2
a^2+1/a^2=27
(a+1/a)^2 =a^2 +1/a^2 +2 ×a×1/a
(a+1/a)^2= 27+2
(a+1/a)^2 =29
(a+1/a)= √29
(iii)
(a^2 -1/a^2)= (a+1/a)(a-1/a)
= √29×5=5√29
...( ^2)means a number to the power 2
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