Result from solve() command shows c_0

[Jan 11]

The calculator for this equation gives a difficult record of the solution for CAS Settings-Exact. When we leave this setting, we get a numerical sequence of solutions in the range (5, 10). The correct solution for this equation should be x≥5 AND x≤10. I checked how inequalities are made. Unfortunately, the calculator for this example gives the wrong solution. (See the attached screenshot) Then I changed the equation: √ (x + 3-4 * √ (x-1)) + √ (x + 8-6 * √ (x-1)) = 2.
The solutions to this equation and inequalities are correct. For all other numbers> 1, solutions of equations and inequalities are correct. Then I checked how HP PRIME virtual performs these equations and inequalities (for different CAS settings) Here is the tragedy. This calculator gives no solutions or gives them incorrectly.