Răspuns :
notam cu x si y cele doua numere
x²-y²=208
(x-y)(x+y)=208 dar mai stim ca x-y=8
8(x+y)=208
x+y=208:8
x+y=26
[tex] \left \{ {{x+y=26} \atop {x-y=8}} \right. [/tex] adunam ambele ecuatii si rezulta
--------------------------------------------
2x=34
x=34:2
x=17
y=26-17
y=9
x²-y²=208
(x-y)(x+y)=208 dar mai stim ca x-y=8
8(x+y)=208
x+y=208:8
x+y=26
[tex] \left \{ {{x+y=26} \atop {x-y=8}} \right. [/tex] adunam ambele ecuatii si rezulta
--------------------------------------------
2x=34
x=34:2
x=17
y=26-17
y=9
{a-b=8 ⇒a=8+b
{a²-b²=208
(8+b)²-b²=208
64+16b+b²-b²=208
16(4+b)=208
4+b=208/16
4+b=13
b=13-4
b=9
a=8+b=8+9
a=17
{a²-b²=208
(8+b)²-b²=208
64+16b+b²-b²=208
16(4+b)=208
4+b=208/16
4+b=13
b=13-4
b=9
a=8+b=8+9
a=17