find the intersection of a line and a parabola in matlab

To find the intersection of a line and a parabola in MATLAB, you can follow these steps:

1. Define the line and the parabola using their equations
2. Find the intersection point(s) using the solve function

Here's an example code that finds the intersection point(s) between the line y = 3x + 2 and the parabola y = x^2 - 1:

main.m
% Define the line and the parabola
syms x y
eq1 = y == 3*x + 2;
eq2 = y == x^2 - 1;

% Find the intersection point(s)
sol = solve(eq1, eq2);
x_intersect = double(sol.x);
y_intersect = double(sol.y);

% Display the result
disp(['Intersection point(s): (' num2str(x_intersect) ', ' num2str(y_intersect) ')']);
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This code defines the line and the parabola using symbolic variables (x and y), and then uses the solve function to find the intersection point(s). The double function is used to convert the symbolic solution to numeric values, and the disp function is used to display the result.