Question

aflati produsul nr. a si b stiind a+b=5 si ala puterea a 2 si b la puterea a 2 =13

Answer 1

[tex]a+b=5|()^{2}\\(a+b)^{2}=5^{2}\\(a+b)^{2}=(a+b)^{1+1}=(a+b)^{1}\cdot (a+b)^{1}= (a+b)\cdot (a+b)\\=a\cdot a+a\cdot b+b\cdot a+b\cdot b=a^{2}+2ab+b^{2}\\ 5^{2}=5\cdot 5=25\\a^{2}+2ab+b^{2}=25\\a^{2}+b^{2}=13\\===========(-)\\2ab=25-13\\2ab=12\\ab=\frac{12}{2}\\ab=6[/tex]

Answer 2

a+b=5
a la a 2a+ b la a2a =13
a=2,b=3 
2*3=6