Question

Daca 2x+y/x+2y =2/3,Calculati x/y si xy+x²/y²
va rooog e urgeent​

Answer 1

Răspuns:

2x+y / x +2y = 2/3 =>

3*(2x+y) = 2*( x + 2y)

6x + 3y = 2x + 4y

4x = y

x/y = x/4x = 1/4

xy+ x²/y² = x*4x + x²/(4x)² = 4x² + x² / 16x² = ?

Dacă e ( 4x²+x²) / 16x² = 5x²/16x² = 5/16

Dacă e 4x² +( x²/16x² )= 4x² + 1/16