if x-y = 8 and xy = 12 then find value of x^2+y^2 ??

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If x + y = 8 and xy =15 , find x2 + y2.


x + y = 8
xy = 15.

Required To Find : x^2 + y^2.

SOLUTION :
we know that,
( x+y )^2 = x^2 + y^2 + 2xy
x^2 + y^2 = ( x + y )^2 - 2xy
= 8^2 - 2×15
= 64 - 30
x^2 + y^2 = 34.


RESULT :
x^2 + y^2 = 34

 
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