Question 436894
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Hi
Note the use of ^ (uppercase 6)
Graph the equations of the system. 
x^2 + y^2 = 49
Using Standard Form of an Equation of a Circle is {{{(x-h)^2 + (y-k)^2 = r^2}}}
where Pt(0,0) is the center and 7 is the radius
AND
y = x^2 - 7
Using the vertex form of a parabola, {{{y=a(x-h)^2 +k}}} where(0,-7) is the vertex
Graphing. Points of Intersection..Ordered Pairs that are solutions to this System:
Pt(0,-7), ({{{sqrt(13)}}},6), ({{{-sqrt(13)}}},6)
{{{drawing(300,300,   -10,10,-10,10,  grid(1),
blue(circle(0, 0,7)),
circle(0, -7,0.4),
circle(3.61, 6,0.4),
circle(-3.61, 6,0.4),
graph( 300, 300, -10,10,-10,10,0,x^2-7))}}}