Question

Efectuati in R ecuatiile.
(x-1)²=4
(1-2x)²=8
(x+1)²-16=0
27-3(x+2)²=0
(2x+3)²+100=0





















E

Answer 1

$(x-1)^{2} =4=\ \textgreater \ x-1=+-2=\ \textgreater \ x-1=2=\ \textgreater \ x-1=-2$$=\ \textgreater \ x_{1} =3; x_{2}=-1$
$(x+1)^{2} -16=0=\ \textgreater \ (x+1)^{2} =16=\ \textgreater \ x+1=+-4$$=\ \textgreater \ x+1=4=\ \textgreater \ x+1=-4=\ \textgreater \ x_{1} =3; x_{2} =-5$
$27-3(x+2)^{2} =0=\ \textgreater \ -3(x+2)^2=-27=\ \textgreater \ (x+2)^2=+-3$$=\ \textgreater \ x+2=3=\ \textgreater \ x+2=-5=\ \textgreater \ x_{1} =1; x_{2} =-5$
$(2x+3)^2+100=0=\ \textgreater \ (2x+3)^2=-100=\ \textgreater \ 2x+3=+- \sqrt{-100}$  x∉R
$Succes$