Answer :
The solution of the given equation is x = 4.
Given that,
- The equation is [tex]\sqrt{x} + 12 = x[/tex].
Based on the above information, the calculation is as follows:
[tex]\sqrt{x} + 12 = x[/tex]
Now we have to square both sides
[tex](\sqrt{x} + 12)^2 = x^2[/tex]
[tex]x + 12 = x^2\\\\x^2 - x - 12 = 0\\\\x^2 - 4x + 3 - 12\\\\x(x - 4) + 3 (x - 4)\\\\(x + 3) (x - 4)[/tex]
x = -3 and x = 4
Learn more: brainly.com/question/16911495