Problem

x2+y210x2x+17=0

Answer

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Answer

Since the equation represents a circle with radius 44, there is no unique solution for x and y, and thus, no unique value for x+y

Steps

Step 1 :Rewrite the equation as x212x+y210y+17=0

Step 2 :Complete the square in x and y, we get (x6)236+(y5)225+17=0

Step 3 :Simplify the equation, (x6)2+(y5)2=44

Step 4 :Since the equation represents a circle with radius 44, there is no unique solution for x and y, and thus, no unique value for x+y

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