Question: Does MATLAB have a function for separating the square root in the equation eqn=a*x^2 +b*x + c +sqrt((rc*x+1)/rc) of the rest?

Question: Does MATLAB have a function for separating the square root in the equation eqn=a*x^2 +b*x + c +sqrt((rc*x+1)/rc) of the rest?

[Rik]

You mean the algebraic rewrite below?

eqn - a*x^2 - b*x - c = sqrt((rc*x+1)/rc)

Answer 1

[Umar]

Hi Hendrik,

You asked, Does MATLAB have a function for separating the square root in the equation eqn=a*x^2 +b*x + c +sqrt((rc*x+1)/rc) of the rest?

You can separate the square root term in an equation using the solve function. By isolating the square root term, you can manipulate the equation further. Here's a simple example demonstrating this.

syms a b c x r rc
eqn = a*x^2 + b*x + c + sqrt((rc*x + 1)/rc) == 0;
sol = solve(eqn, sqrt((rc*x + 1)/rc));

Warning: Possibly spurious solutions.

disp(sol);

    rc: [2x1 sym]
     x: [2x1 sym]

So, in the above example, we define the equation eqn and then use the solve function to isolate the square root term. The solution sol will provide the separated square root term.

For more information on solve function, please refer to

https://www.mathworks.com/help/symbolic/sym.solve.html

Hope this will help resolve your issue.

[Walter Roberson]

sol = solve(eqn, sqrt((rc*x + 1)/rc));

The above does not solve eqn for the expression sqrt((rc*x + 1)/rc) : the above solves the system of equations

a*x^2 + b*x + c + sqrt((rc*x + 1)/rc) == 0
sqrt((rc*x + 1)/rc) == 0

for two default variables

[Umar]

Hi Walter,

MATLAB does not have a built-in function specifically designed to isolate or separate the square root term from the rest of an equation. However, you can manually separate the square root term using basic algebraic manipulation.

To isolate the square root term in the given equation, you can rewrite the equation as follows:

eqn = a*x^2 + b*x + c + sqrt((rc*x + 1) / rc)

You can separate the square root term by assigning it to a variable:

sqrt_term = sqrt((rc*x + 1) / rc);

Then, you can rewrite the equation without the square root term:

eqn_without_sqrt = a*x^2 + b*x + c;

Now, you have the square root term separated from the rest of the equation in the variable sqrt_term.

>> a = 2; % Assign a value to variable 'a' b = 3; % Assign values to other variables c = 1; rc = 0.5; x = 2;

eqn = a*x^2 + b*x + c + sqrt((rc*x + 1) / rc); sqrt_term = sqrt((rc*x + 1) / rc); eqn_without_sqrt = a*x^2 + b*x + c;

disp('Equation with sqrt term:'); disp(eqn);

disp('Square root term:'); disp(sqrt_term);

disp('Equation without sqrt term:'); disp(eqn_without_sqrt); Equation with sqrt term: 17

Square root term: 2

Equation without sqrt term: 15

Correct me if I am wrong.