Question

If a + 1/a =2 Find a^2 + 1/a^2

Answer 1

Answer:

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Answer 2

Question:

a+1/a=2 Find a^2 + 1/a^2

Answer :

Squaring both sides :

(a+1/a)^2=(2)^2

apply the identity

• (a+b)^2=a^2+b^2+2ab

•a=a ,b=1/a

=a^2+1/a^2+2 x a x 1/a=4

=a^2+1/a^2+2=4

=a^2+1/a^2=4-2

=a^2+1/a^2=2

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