Question

Rezolvati ecuatiea: √(x+1)² -(x+1)²=1-3

Answer 1

|x+1|-(x2+2x+1)=-2


 pt x<1, |x+1|=-x-1
-x-1-x²-2x-1=-2
x²+3x+2=2
x(x+3)=0
x1=0 nu convine
 x=-3 <-1 , convine
Verificare 2-4=-2 Adevarat


b) pt x≥1, |x+1|=x+1

x+1-(x²+2x+1)=-2
x²+2x+1-x-1=2
x²+x=2
x²+x-2=0
x1=-2 <-1nu convine
x2=1 >-1  , convine
 verificare
2-4=-2 adevarat
 deci S= {-3;1}