Question

Aflati x:
79-2(x+1)^2=47

Answer 1

79 - 47 = 2 ( x+1 )²
32= 2 ( x+1)²
(x+1)² =16 
(x+1) ² - 4² =0 
( x+1 -4) · ( x+1+4) =0 
x - 3=0             x=3
x+5=0              x=-5

Answer 2

$79-2(x+1)^2=47 \\ 79-47=2(x+1)^2 \\ 2(x+1)^2=32 \\ (x+1)^2=32:2 \\ (x+1)^2=16 \\ x+1=\sqrt{16} \\ x+1=4 \\ x=4-1 \\ \boxed{x=3}$