Answer :

Answer:

x=4

Step-by-step explanation:

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

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