# How do you graph # x^2+y^2-4x+10y+20=0#?

##### 1 Answer

Jan 26, 2016

Graphs a circle with centre

#### Explanation:

This equation can be recognised as the equation of a circle - see Conic sections for a description of the patterns of the conic equations.

We need to reorganise and simplify it in order to get it into the standard form for a circle that will give us the centre and radius, after which it will be very easy to graph.

Using completing the squares gives us

This is now in the form

therefore the centre is

It is now possible to graph the circle.