13. If a2 - 5a - 1 = 0 and a = 0; find :
(i) a - 1 / a
(ii) a + 1/ a
(iii) a²- 1 / a²
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Answer:
the answer to three parts is either not defined or infinity
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a^2+5a_1=0
a^2_1=5a
a-1/a=5
(a+1/a)^2=(a-1/a)^2+4a×1/a
=5^2+4=29
a+1/a=root over 29
a^2_1/a^2=(a+1/a)(a-1/a)
=root over29×5
=5root over29
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