DABasaur
DABasaur DABasaur
  • 11-12-2018
  • Mathematics
contestada

What are the solutions to this equation?


(x−4)^2=49



The solutions are x =
or x =
.

Respuesta :

Tucon
Tucon Tucon
  • 11-12-2018

 

[tex]\displaystyle\\(x-4)^2=49\\\\(x-4)^2-49=0\\\\(x-4)^2-7^2=0\\\\(x-4-7)(x-4+7)=0\\\\(x-11)(x+3)=0\\\\x-11 = 0~~~\text{or}~~~x+3=0\\\\x-11=0~~~\implies~~~\boxed{x_1=11}\\\\x+3=0~~~\implies~~~\boxed{x_2=-3}\\\\\boxed{\bf The~solutions~are:~~x =11~~\text{or}~~x =-3}[/tex]



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