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Trying to Solve quadratic inequalities

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Hello, I am a new user of Matlab and I am trying to solve the following inequality
I tried to solve it with the code bellow and as you can see the result is wrong. I am seeking for intervals. What should I do?
syms x
ineq = x^2-2*x+7>12;
sol = solve(ineq, x)
sol = 

Accepted Answer

Torsten
Torsten on 31 Dec 2023
Edited: Torsten on 31 Dec 2023
Don't expect that MATLAB succeeds for complicated systems of quadratic inequalities. But for this simple one, it returns a solution:
syms x
ineq = x^2-2*x+7>12;
sol = solve(ineq, x, 'ReturnConditions',1);
sol.conditions
ans = 
  1 Comment
Athanasios Paraskevopoulos
Thank you very much. I am a mathematician and I would like to put in my teaching some examples through Matlab. I am exploring what possibilities this program can give me and at the same time learn to use it for my PhD.

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More Answers (1)

John D'Errico
John D'Errico on 31 Dec 2023
Edited: John D'Errico on 31 Dec 2023
syms x
ineq = x^2-2*x+7>12;
sol = solve(ineq, x,'returnconditions',true)
sol = struct with fields:
x: [2×1 sym] parameters: x conditions: [2×1 sym]
sol.x
ans = 
sol.conditions
ans = 
The result is two half-infinite intervals.

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