Question

What is the solution of x=2+\sqrt(x-2)

x = 2
x = 3
x = 2 or x = 3
no solution

Answer 1

C) x = 2 or x = 3

Explanation:

Edge 2021

Answer 2

The solution is x = 2 or x = 3

Explanation:

we have to find the solution of the equation

`x=2+√((x-2))`

`x=2+√((x-2))\\ \\x-2=√(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