Two quadratic equations

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Question from rajesh, a student:

Sir,
I would like to discuss on question-
-Find the value of variable X and Y, equations are
X2+Y2+2XY=25
X2+Y2-2XY=1

Sir, my point is equation looks not so easy.My opinion is there many
(more than 4)value possible for both X and Y.
Kindly help me.
Waiting for your response.
regards,
rajesh

Rajesh,

I can give you a hint to help you get started.

\[x^2 + y^2 + 2xy = (x + y)^2\]

Penny

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