# Help me understand the meaning of "solve/ find the solution/ what are the roots" using the following?

x-7=sqrt(x-5)
Update: I think "it is necessary to check the converse proposition by substitution in the original equation"
Update 2: Please ref to, e.g., for proper answer: Richardson, M. (1982 ). College Algebra. 3rd Ed., Prentice-Hall, Eaglewood Cliffs
Update 3: It is necessary to check the converse proposition by substitution in the original equation(s) Checking is not merely a superfluous step but an essential part of the work Please ref to, e.g., Richardson, M. (1982 ). College Algebra. 3rd Ed., Prentice-Hall, Eaglewood Cliffs Solving involves three... show more It is necessary to check the converse proposition by substitution in the original equation(s)
Checking is not merely a superfluous step but an essential part of the work

Please ref to, e.g.,
Richardson, M. (1982 ). College Algebra. 3rd Ed., Prentice-Hall, Eaglewood Cliffs

Solving involves three steps
(1) Find the candidate values;
(2) Determine which values satisfy the original equation(s); and
(3) State the selected values.