Question

a-b=5 si axb=24 dau coroana

Answer 1

a-b=5⇒a=b+5
a*b=24
(b+5)*b=24
b²+5b=24
b²+5b-24=0
b²+8b-3b-24=0
b(b+8)-3(b+8)=0
(b-3)(b+8)=0⇒b∈{3.-8}
Pentru b=3 ⇒a-3=5⇒a=8
Pentru b=-8⇒a+8=5⇒a=-3
S:(a,b)∈{(8,3),(-3,-8)}