Question

Determinați numerele x,y € Q pentru care. |x+2|+√9+4√5=4+√5•|y+3|
Va rog frumos îmi trebuie urgent

Answer 1

|x+2| +3 +4√5= 4+√5*|y+3|
|x+2| +4√5 = 4-3 +|y+3|√5
|x+2| +4√5 = 1 +|y+3|√5
 ⇒ |x+2|=1 si |y+3|=4
x+2=1⇒ x=1-2⇒ x=-1 si x+2=-1⇒ x=-1-2⇒ x=-3⇒ x∈{-1,-3}
y+3= 4⇒y=4-3⇒y=1 si y+3=-4⇒ y=-4-3⇒ y=-7⇒ y∈{-7,1}