create a function to find the roots of a quadratic equation for all the three cases of discriminants in matlab

You can create a function in MATLAB to find the roots of a quadratic equation for all three cases of discriminants using the following code:

main.m
function roots = findQuadraticRoots(a, b, c)
    discriminant = b^2 - 4*a*c;
    
    if discriminant > 0
        root1 = (-b + sqrt(discriminant)) / (2*a);
        root2 = (-b - sqrt(discriminant)) / (2*a);
        roots = [root1, root2];
    elseif discriminant == 0
        root = -b / (2*a);
        roots = root;
    else
        roots = 'No real roots';
    end
end
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In this function, a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0. The function calculates the discriminant using the formula b^2 - 4ac.

If the discriminant is greater than 0, which means there are two distinct real roots, the function calculates the roots using the quadratic formula and returns them as an array [root1, root2].

If the discriminant is equal to 0, which means there is one real root, the function calculates the root using the quadratic formula and returns it as a single value.

If the discriminant is less than 0, which means there are no real roots, the function returns the string 'No real roots'.

You can use this function by calling it with the coefficients of your quadratic equation, for example:

main.m
roots = findQuadraticRoots(1, -3, 2);
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This will give you the roots of the equation x^2 - 3x + 2 = 0, which are 1 and 2.