if a+1/a=5 then find a^2+1/a^2
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a+1/a=5
squaring both sides
(a+1/a)^2=5^2=25
a^2+1/a^2+2a×1/a=25.
a^2+1/a^2=25-2=23
squaring both sides
(a+1/a)^2=5^2=25
a^2+1/a^2+2a×1/a=25.
a^2+1/a^2=25-2=23
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