Question

Dacă x-y = 4 si x la puterea 2 - y la puterea 2 = 24 atunci x+y=?

Answer 1

   
[tex]\displaystyle \\ x-y = 4 \\ \\ x^2-y^2=24 \\ \\ x+y = ? \\ \\ Rezolvare: \\ \\ x^2-y^2=24 \\ \\ (x-y)(x+y) = 24 ~~~dar~~ x-y = 4 \\ \\ 4(x+y) = 24 \\ \\ \\ x+y = \frac{24}{4} = \boxed{6}[/tex]