Step 1:

From equation (1):

From equation (2):

Equate the the left hand side of equations (3) and (4).

Apply zero product property.

and

and .

Step 2:

Substitute the values in equation (1).

For

For

Intersection points are and 

Step 3:

Graph the equations

Compare it to general conic form

Discriminant

So the equation is hyperbola.

Compare it to general conic form

.

And are different signs and equal coefficients, So the equation is circle.

Graph the equations.

Observe the graph:

Solutions are