Question

cine ma poate ajuta?Va rog frumos

Answer 1

a)1ab+1ba=100+10a+b+100+10b+a=200+11(a+b)
200+11(a+b)=200+11*9
a+b=9 cu a≠0
 a=1,b=8; a=2,b=7; a=3,b=6; a=4,b=5; a=5,b=4; a=6,b=3; a=7,b=2; a=8,b=1; a=9,b=0
ab={18,27,36,45,54,63,72,81,90}
b)
ab3+5ab+b7a=111a+111b+500+70+3=906
111(a+b)=333
a+b=3, cu a≠0 si b≠0
a=1,b=2; a=2,b=1
ab={12,21}

c)
ab+bc+ca=77
11a+11b+11c=77
a+b+c=7, cu a≠0,b≠0 si c≠0
a=1,b=1,c=5
a=1,b=2,c=4
a=1,b=3,c=3
a=1,b=4,c=2
a=1,b=5,c=1

a=2,b=1,c=4
a=2,b=2,c=3
a=2,b=3,c=2
a=2,b=4,c=1

a=3,b=1,c=3
a=3,b=2,c=2
a=3,b=3,c=1

a=4,b=1,c=2
a=4,b=2,c=1

a=5,b=1,c=1
ab={11,12,13,14,15,21,22,23,24,31,32,33,41,42,51}