Find equation of level curves

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Hi everyone..Can anyone help me to solve this problem.

Consider a scaler field T(x,y) = (2x+2y) / (x2+y2)

How can i find the level equations.
 
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Please help me to solve this problem
 
hi nadeepr - welcome to PF, though the idea is for you to have a crack at solving it first & get help through

Start with the definition of level curves
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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