Answer :

The standard form of an equation of a circle is,

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where

(h, k) is the center

r is the radius

The first equation is that of a circle.

Now,

The second equation is,

[tex]\begin{gathered} x^2+y=10 \\ y=-x^2+10 \end{gathered}[/tex]

This is an equation of a parabola (quadratic).

When a circle and parabola intersect (solution point), there can be maximum 4 solutions, or 4 intersecting points.

The graphs of the two equations are shown:

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