If x - y = 13 and xy = 28, then find x^2+ y^2. - Vidyadip

Question

If $x - y = 13$ and $xy = 28$, then find $x^2+ y^2$.

✓

Answer

Given, $x - y = 13$ and $xy = 28$
Since,
$ (13)^2=x^2+y^2-2 x y $
$ x^2+y^2=(13)^2+56 $
$ x^2+y^2=169+56 $
$ x^2+y^2=225 $

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