# 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...
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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.

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.

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