Question

X+Z-1984=2004 va rog

Answer 1

X+Z-1984=2004 =>
X+Z=2004-1984=>
(1) X+Z=20
20=10+10=20+0=0+20=19+1=1+19=18+2=2+18=17+3=3+17=16+4=4+16=
=15+5=5+15=14+6=6+14=13+7=7+13=12+8=8+12=11+9=9+11 (2)
Aplicam a+b=c+d=>a=c si b=d
 Din (1) si (2) => (X,Z)= {(20,0); (0,20); (19, 1); (1, 19); (18, 2); (2,18); (17, 3); (3,17); (16, 4); (4,16); (15, 5);(5,15); (14,6); (6,14); (13, 7); (7,13); (12, 8); (8,12); (11, 9); (9,11); (10,10)}  pt orice X si Z
Daca in enuntul problemei spune ca X ≠ 0, Z≠0 si X≠Z=>
=>(X,Z)= {(19, 1); (1, 19); (18, 2); (2,18); (17, 3); (3,17); (16, 4); (4,16); (15, 5);(5,15); (14,6); (6,14); (13, 7); (7,13); (12, 8); (8,12); (11, 9); (9,11)}