Question

What is the solution of x=2+\sqrt(x-2)
x = 2
x = 3
x = 2 or x = 3
no solution

Answer 1

Answer:

The solution is x = 2 or x = 3  

Step-by-step explanation:

we have to find the solution of the equation

$x=2+\sqrt{(x-2)}$

$x=2+\sqrt{(x-2)}\\ \\x-2=\sqrt{x-2}\\\\\text{Squaring on both sides }\\\\(x-2)^2=x-2\\\\x^2+4-4x=x-2\\\\x^2-5x+6=0\\\\x^2-2x-3x+6=0\\\\x(x-2)-3(x-2)=0\\\\(x-2)(x-3)=0\\\\x=2\text{ or }x=3$

Hence, correct option is x = 2 or x = 3

Answer 2

Answer:

C) x = 2 or x = 3

Step-by-step explanation:

Edge 2021