Question

Stiind ca 12x- 5y+/3x ,calculati x/y si x(la a doua)+xy/y(la a doua) /inseamna pe

Answer 1

(12x-5y)/ 3x =2/3

3(12x-5y)=6x

36x-15y=6x

36x-6x=15y

30x=15y | :15

2x=y | : 2

x=y/2

=> x/y=1/2

(x^2+xy)/y^2=x^2/y^2+xy/y^2=(x/y)^2+x/y=(1/2)^2+1/2=1/4+1/2=1/4+2/4=3/4

Succes!