Find the number of ordered pairs (x,y) satisfying the system of equations -
x + y^2 = 12 x^2 + y = 12
four pairs x y 3.854102 -2.854102226 3 3 -4 -4 -2.854102 3.854101774
How many integer solutions are there to the system of equations below and which are those solutions?
x^2+y-z = 42 x+y^2-z = 18
What is the shortest distance between circle A defined by (x − 5)2 + (y − 4)2 = 4 and circle B defined by (x − 1)2 + (y − 1)2 = 1? There is some point P on circle A closest to B, and there is another point Q on circle B closest to A. What are the coordinates of P and Q?
A circle of radius 1 is tangent to the parabola y=x^2 as shown. Find the gray area between the circle and the parabola?
