SOLUTION: Graph the equation {{{x^2+y^2-6x+2y+1=0}}}

Question 140314: Graph the equation

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Rearrange the terms

Subtract from both sides

Complete the square for the x terms (let me know if you need help completing the square)

Complete the square for the y terms

Combine like terms

Add to both sides

Combine like terms

Subtract from both sides

Take the square root of both sides

Subtract 1 from both sides

So we have the two equations

and

When we graph the two, we get

Graph of (red) and (green)
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