If a+b=1, then prove that, (a+1/a)2+(b+1/b)2 25/2 [ where a is not equal to - Maths - Linear Inequalities

Question

If a+b=1, then prove that,
(a+1/a)2+(b+1/b)2 >25/2 [ where a is not
equal to b]

Swayam · Answer

By cauchy schwartz theorem or m th power theorem
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If a+b=1, then prove that, (a+1/a)2+(b+1/b)2 >25/2 [ where a is not equal to b]