Find the value of a ²+1/a²,if )(a+1/a)²=49 using a suitable identity
with full solution do it yourself please in a notebook please
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Step-by-step explanation:
mate here we use identity (a+b)²=a²+2ab+b²
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Answer:
(a+b)^2=a^2+2ab+b^2
using this identity,
(a+1/a)^2=49
=> a^2+2.a.1/a+1/a^2=49
=> a^2+1/a^2+2=49
=> a^2+1/a^2=49-2
=> a^2+1/a^2=47
so, a^2+1/a^2=47
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