Find the points of intersection of the curves y=2sin(x-3) and y=-4x^2+2?

Yummys
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Can someone do it without using a graphing calculator? The question specifically states not to use "Trace". I don't understand how to do it algebraically, and I'd love it if someone could teach me. Please and thanks!
 
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Well you can't solve it algebraically, you can solve it using a numerical method or if you use approximations or maybe some special function (which I am most likely unfamiliar with).
 
rock.freak667 said:
Well you can't solve it algebraically, you can solve it using a numerical method or if you use approximations or maybe some special function (which I am most likely unfamiliar with).

A numerical method? Like, plugging in numbers? Sorry I'm lost.
 
Yummys said:
A numerical method? Like, plugging in numbers? Sorry I'm lost.

Do you know bisection method? Newton's method?
 
Yummys said:
A numerical method? Like, plugging in numbers? Sorry I'm lost.

You can use iterative methods which essentially like guessing but the iterations would converge to the points you want to a certain degree of accuracy.
 

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