Question

Stiind ca numerele x si y sunt invers proportionale cu 2 si 5 sa se determine x^2+ 2y^2/2xy+y2

Answer 1

Răspuns:

2x=5y=k

X=k/2

Y=k/5

$\frac{ {k}^{2} }{2} + 2( \frac{k}{5}) {}^{2} = 2 \times \frac{k}{2} \times \frac{k}{5} +( \frac{k}{5} ) {}^{2}$

25

$25 {k}^{2} + 4 {k}^{2} = 10 {k}^{2} + 10 {k}^{2}$