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a fost răspuns

Determinati numerele reale x si y stiind ca:
a)(x+1)²+(y-3)²=0
b)x²+2x+y²+6y+10=0
c)4x²+y²+4x+10y+26=0


Va multumesc anticipat!!!


Răspuns :

a)(x+1)²+(y-3)²=0

(x+1)²≥0; (y-3)²≥0

=> x+1=0; x=-1 si y-3=0; y=3

b)x²+2x+y²+6y+10=0

(x²+2x+1)+ (y²+6y+9)=0

(x+1)²+(y+3)²=0

=> x+1=0; x=-1 si y+3=0; y=-3

c)4x²+y²+4x+10y+26=0

(4x²+4x+1)+ (y²+10y+25)=0

(2x+1)²+(y+5)²=0

2x+1=0; x=-1/2 si y+5=0; y=-5

Răspuns:

x+1=0 x=-1 ;  y-3=0 ;  y=3  ;  b)  (x+1)²+(y+3)²=0 ;  x+1=0 ; x=-1 =  y+3=0 ;  y=-3 ;  (2x+1)²+(y+5)²=0 ;  2x+1=0 2x=1 ; x=1/2 ; y+5=0 y=-5

Explicație pas cu pas: