Răspuns :
a+b=25
1/a+1/b=1/6 6b+6a=a*b
6(a+b)=a*b
6*25=a*b
a*b=150
dar a=25-b
b(25-b)=150
25b-b^2=150
b^2-25b+150=0
delta=625-600=25
b1=(25+5)/2=15 atunci a1=10
b2=(25-5)/2=10 atunci a2=15
deci numerele sunt 15 si 10
1/a+1/b=1/6 6b+6a=a*b
6(a+b)=a*b
6*25=a*b
a*b=150
dar a=25-b
b(25-b)=150
25b-b^2=150
b^2-25b+150=0
delta=625-600=25
b1=(25+5)/2=15 atunci a1=10
b2=(25-5)/2=10 atunci a2=15
deci numerele sunt 15 si 10
