How many solutions does the nonlinear system of equations graphed below have?

Question

anonymous · Answer

attachment

anonymous · Answer

@Ac3 @Directrix @rebeccaxhawaii @surjithayer

sweetburger · Answer

I believe solutions in this context are points at which the graphs intersect. 
and wow 59 notifications in the background wow.

directrix · Answer

How many points of intersection of the hyperbola and the circle do you see?

anonymous · Answer

so D?

anonymous · Answer

2?

directrix · Answer

Look again.

anonymous · Answer

1?

ac3 · Answer

how many times does that graph touch the x-axis?

ac3 · Answer

that will be your answer

directrix · Answer

We are not looking for x-intercepts. @Ac3

sweetburger · Answer

@ac3 those would be 0's of the function

sweetburger · Answer

well not "function"

sweetburger · Answer

0's of the equations

directrix · Answer

@2kende 

Look at the attached diagram.

sweetburger · Answer

The illustration doesn't get better than that ^

directrix · Answer

How many points of intersection are marked?

These are points of both the hyperbola and the circle.

anonymous · Answer

1?

anonymous · Answer

4?

sweetburger · Answer

did you determine those numbers or are you a random number generator?

anonymous · Answer

are those lines on the graph seperate?

ac3 · Answer

oh my bad, the question is how many times do the graphs touch each other?

directrix · Answer

>>are those lines on the graph seperate?

Yes. Enlarge the graph a bit and the graph will be clearer.

anonymous · Answer

so 4?

directrix · Answer

Yes, 4. There is one solution per quadrant as shown in the graph.

sweetburger · Answer

yes

anonymous · Answer

tyvm