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?
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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?
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Umar
2024년 7월 4일
편집: Walter Roberson
2024년 7월 4일
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));
disp(sol);
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
Hope this will help resolve your issue.
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Walter Roberson
2024년 7월 4일
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
2024년 7월 4일
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.
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