👤
a fost răspuns

Daca x la puterea a doua + y la puterea a doua +z la puterea a doua +35=2x +6y-10z . Calculati x+y+z-xyz

Răspuns :

AndryDt
x²+y²+z²+35=2x+6y-10z
x²-2x+y²-6y+z²+10z+35=0 (formam patrate perfecte)
x²-2x+1+y²-6y+9+z²+10z+25=0
(x-1)²+(y-3)²+(z+5)²=0
 x-1=0   y-3=0     z+5=0
 x=1       y=3        z=-5

x+y+z-xyz=1+3-5-3*(-5)= -2+15=13

Alte intrebari