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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve for x :

  • [tex] \sqrt{x - 2} - x = - 2[/tex]

  • [tex] \sqrt{x - 2} = x - 2[/tex]

  • [tex]1 = \dfrac{x - 2}{ \sqrt{x - 2} } [/tex]

  • [tex]1 = \sqrt{x - 2} [/tex]

  • [tex]x - 2 = 1[/tex]

  • [tex]x = 3[/tex]
Sᴘᴀᴄᴇ7

Answer:

[tex]\sf\longmapsto \: x = 3[/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: \sqrt{x - 2 } - x = - 2 [/tex]

[tex]\sf\longmapsto \: \sqrt{x - 2} = x - 2[/tex]

[tex]\sf\longmapsto \: 1 = \frac{x - 2}{ \sqrt{x - 2} } [/tex]

[tex]\sf\longmapsto1 = \sqrt{x - 2} [/tex]

[tex]\sf\longmapsto \: x - 2 = 1[/tex]

[tex]\sf\longmapsto \: x = 3[/tex]

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