There will only be one real solution.
If [tex]x[/tex] is a real number, the square root function [tex]\sqrt x[/tex] will only have real solutions when [tex]x\ge0[/tex].
For [tex]x<0[/tex], we get imaginary solutions.
Also, when [tex]\sqrt x> 0[/tex], [tex]x>0[/tex]
In other words, when the square root of [tex]x[/tex] is a positive real number, [tex]x[/tex] will be a unique positive number.
We can see this when trying to solve the equation given in the question
So, the equation
[tex]\sqrt x=c[/tex]
where [tex]c>0[/tex], when solved, will give
[tex]\sqrt x=c\\(\sqrt x)^2=c^2\\x=c^2[/tex]
We will have a unique solution because squaring a positive real number gives a single result.
Learn more here: brainly.com/question/24117016
