Thread: Need help to graph an equation

I Have to draw the graph of the following(and show working)

x^2+3x+y^2+y= 3/2

Originally Posted by kate1234

I Have to draw the graph of the following(and show working)

x^2+3x+y^2+y= 3/2

Complete the square in both x and y:
x^2+ 3x+ ?= (x+ a)^2
y^2+ y+ ?= (y+b)^2

The two "?"s will be numbers of course and you add the same numbers to the right side of the equation. The result will be something like (x+a)^2+ (y+b)^2= r^2; the graph is a circle with center at (-a, -b) and radius a.

Thanks so much. It was easy once I had the idea from you