Question

determinati numerele reale x si y stiind ca:
a) (x - 2)² + (x - 3)² =0
b) x² + 2x + 1 + y² - 4y + 4 =0
c) x² - 6x + y² - 10y + 34 = 0
d) x² - x + 9y² - 3y + ½ = 0

Answer 1

a)x-2=0 si y-3=0 ;deci , x=2 si y=3
b)(x+1)²+(y-2)²=0
     x+1=0 si y-2=0 ; deci, x=-1 si y=2
c)(x²-6x+9)+(y²-10y+25)=0
     (x-3)²+(y-5)²=0
      x-3=0 si y-5=0 ;deci,x=3 si y=5
d)(x²-x+1/4)+(9y²-3y+1/4)=0
   (x-1/2)²+(3y-1/2)²=0
     x-1/2=0 si 3y-1/2=0
     x=1/2 si y=1/6