SOLUTION: X2+y2-4x+10y+13=0, find the vertex

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Question 1071227: X2+y2-4x+10y+13=0, find the vertex
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Equation looks like a circle. Why expect a vertex?

x%5E2-4x%2By%5E2%2B10y%2B13=0
x%5E2-4x%2B4%2By%5E2%2B10y%2B25=-13%2B4%2B25
highlight%28%28x-2%29%5E2%2B%28y%2B5%29%5E2=16%29

No vertex, but CENTER (2,-5) and size of radius sqrt%2816%29=4.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
It is the equation of the circle.

The circle has no vertex.