- #1
pondzo
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- 0
Homework Statement
completing the squares; ## x^2+y^2+2xy-2x-2y+43 = 0##
The Attempt at a Solution
I did it as follows, but i would like to know if there is a different 'nicer' method to complete it;
## x^2 + y^2 + 2xy − 2x − 2y + 43 ##
## = (x + y)^2 − 2x − 2y + 43 ##
## = (x + y)^2 − 2(x + y) + 43 ##
## = (x + y)^2 − 2(x + y) + 1 + 42 ##
## = ((x + y) − 1)^2 + 42 ##