Question

Help!


`\sf √(x-2)-x=-2`

Answer 1

`\sf\longmapsto \: x = 3`

Explanation:

`\sf\longmapsto \: √(x - 2 ) - x = - 2`

`\sf\longmapsto \: √(x - 2) = x - 2`

`\sf\longmapsto \: 1 = (x - 2)/( √(x - 2) )`

`\sf\longmapsto1 = √(x - 2)`

`\sf\longmapsto \: x - 2 = 1`

`\sf\longmapsto \: x = 3`

Answer 2

`▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪`

Let's solve for x :

• 
  `√(x - 2) - x = - 2`

• 
  `√(x - 2) = x - 2`

• 
  `1 = (x - 2)/( √(x - 2) )`

• 
  `1 = √(x - 2)`

• 
  `x - 2 = 1`

• 
  `x = 3`