Question

Dacă a/b=radical 3, atunci a/2b-5a este

Answer 1

[tex]\frac{a}{b}=\sqrt3\Rightarrow a=b\sqrt3\\ \frac{a}{2b-5a}=\frac{b\sqrt3}{2b-5b\sqrt3}=\frac{b\sqrt3}{b(2-5\sqrt3)}=\frac{\sqrt3}{2-5\sqrt3}=\frac{\sqrt3 (2+5\sqrt3)}{4-75}=-\frac{2\sqrt3+15}{71}[/tex]