Intersection of two quadratic equations with two variables

Intersection of two quadratic equations with two variables

I have two quadratic equations with two variables. Basically I just want
to find the point of intersection between the two curves. How should I
proceed with the solution?
The equations are ¡¼4x¡½^2-¡¼9x¡½^2+ 16x+52=0 and x^2+2+3p-23=0. Thanks!
Your help would be very much appreciated.