calebvillarreal635
calebvillarreal635 calebvillarreal635
  • 23-06-2021
  • Mathematics
contestada

Plz help me solve this algebra

Plz help me solve this algebra class=

Respuesta :

Corsaquix
Corsaquix Corsaquix
  • 23-06-2021

Answer:

[tex]x=5, \\x=-1[/tex]

Step-by-step explanation:

Given [tex](x-2)^2=9[/tex], to solve for [tex]x[/tex], our goal is to isolate [tex]x[/tex].

Take the square root of both sides:

[tex]x-2=\pm\sqrt{9},\\x-2=\pm 3[/tex](recall that [tex]3^2=(-3)^2=9[/tex]).

Therefore, we have two cases:

[tex]\begin{cases}x-2=3,x=\boxed{5} \\x-2=-3, x=\boxed{-1}\end{cases}[/tex]

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help me solve this please I really need the answers!