If a - 1/a = 7, Find 1. (a + 1/a) 2. (a2 - 1/a2)
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we have
a-1/a=7
squaring both sides
(a-1/a)²=49
(a+1/a)²-4=49
(a+1/a)²=53
a+1/a=√53
Now a²-1/a²=(a-1/a)(a+1/a)
➡a²-1/a²=7√53
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