if a+1/a=5/2 then a^2+1/a^2
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if a+1/a=5/2 then a^2+1/a^2
Solution :-
given here
a+ 1/a = 5/2
squaring both side
(a + 1/a )²= a² + (1/a)² + 2 × a × 1/a
put value
(5/2)²= a² + (1/a)² + 2
25/4 = (a² + 1/a ²) + 2
=>(a² +1/a²)= 25/4 - 2
=>(a² +1/a²)=( 25-8)/4
=>(a² +1/a²)= 17/4
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