Question

Determinati numerele m si n nenule stiind ca m/n = 2/3 (n+m)(n-m)=180. Rrepede vă rog

Answer 1

Răspuns:

Explicație pas cu pas:

m:n=2/3;

m=2n/3;

(n+m)(n-m)=180;

n^2+mn-mn-m^2=180;

n^2-m^2=180;

n^2-(2 n/3)^2=180;

n^2-4n^2/9=180;

9n^2-4n^2=1620;

5n^2=1620

n^2=324;

n=18;

m=2*18/3;

m=12;