if (a - 1/a) = 2 , then (a^2 + 1/a^2) will be equal to ?
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Step-by-step explanation:
(a-1)/a = 2
Squaring both sides
(a-1)^2/a^2 =2^2
(a^2 +1 - 2a)/a^2 = 4
(a^2 + 1)/a^2 - 2a/a^2 = 4
(a^2 +1)/a^2 = 4 + 2/a
Now,
(a-1)/a =2
a-1 = 2a
a = - 1
(a^2 +1)/a^2 = 4+2/-1 = (- 4+2)/-1 = -2/-1 = 2
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