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Q)Find the area bounded by the curve $y = \frac{1}{2}x^2$ and $x^2 + y^2 = 8$

So first thing I did was plug in numbers to get the two graphs. It looks like they intersect at the point (3,3), I'm not sure if I'm right or wrong on that.

Don't i need to set the two equations equal to each other to find the points of intersection?

So would I be correct in saying: $\frac{1}{2}x^2 = x^2 + y^2 - 8$?

Proceeding through I get:

$x^2 = 2x^2 + 2y^2 - 8$

$=x^2 + 2y^2 - 16$ <-- I know this is simple but I'm stuck because the two different variables are throwing me off (

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*y*Any advice or guidance would be great. Thanks in advance.