Question

where do the curves y= x^2 and y=2^x intersect??

Answer 1

Two solutions can be found by inspection. Just try some natural numbers.
There is also a negative solution that may only be found through approximation like Newton-Raphson.

Answer 2

it in the subject of calculus

Answer 3

so yes, I would use newton raphson\[x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}\]