SOLUTION: If x^2 + y^2 + 4x - 2y + 1 = 0, show that (x+2)^2 + (y-1)^2 = 4

Question 1116006: If x^2 + y^2 + 4x - 2y + 1 = 0, show that (x+2)^2 + (y-1)^2 = 4
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!

This is an example of completing the square -- a very useful mathematical tool that you should know.

Group the x and y terms on the left and move the constant to the right:

Complete the square in both x and y -- that is, add constants (on both sides of the equation, of course!) to make perfect square trinomials in both x and y:

Write the perfect square trinomials as squares of binomials:

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