Question

Sa se determine x,y,z apartin R astfel incat x(x+4) +y(y-6)+z(z-2)=-14
Dau coroana!​Urgent!

Answer 1

x(x+4) +y(y-6)+z(z-2)=-14

x²+4x+y²-6y+z²-2z+14=0

(x²+4x+4)+(y²-6y+9)+(z²-2z+1)=0

(x+2)²+(y-3)²+(z-1)²=0

suma a 3 patrate este 0 => fiecare patrat este 0

=> x+2=0; x= -2

    y-3=0; y=3

    z-1=0; z=1