Question

If a = 3+√5/2 , then find the value a^2+1/a^2​

Answer 1

Answer:

a=23+5∴a1=3+52

On rationaliging the denominator , we get , 

a1=(3+5)(3−5)2(3−5)=9−56−25=46−25=23−5

Also,(a+a1)2=a2+a21+2

Substituting the values of a=a1,

We get , 

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