Solving Equation with Bisection Method - Real Root Between -2*pi and 2*pi

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The equation presented for solving using the bisection method has unbalanced parentheses on both sides, which creates confusion regarding its validity. The user aims to find the real root within the interval of -2*pi and 2*pi, noting that the equation has one real root and two imaginary roots. The bisection method is a suitable approach for locating the real root, provided the equation is correctly formulated. Clarifying the equation's structure is essential for effective application of the bisection method. Ensuring balanced parentheses will help in accurately identifying the real root.
jrm2002
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I need to solve this equaation:

(x1cos(p)+y1sin(p))^2 * (x2sin(p)-y2cos(p)) = (x1sin(p)-y1cos(p)) * (x2cos(p)+y2sin(p))^2 ;

x1,x2,y1,y2 are constants

The equation would have 3 roots

1 real and two imaginary

I don't need imaginary roots.

I am planning to use bisection method-----

since i know the real root will lie between -2*pi and 2*pi

What is your comment on this?
 
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Without commenting on your method I see that the equation as stated doesn't make sense. You have unbalanced parentheses on both sides.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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