Tricky system

Algebra Level 5

Let \(a\), \(b\) and \(c\) be positive real numbers that satisfy the following equations: \[a^2+b^2+\sqrt{3}ab=727\] \[a^2+c^2+\sqrt{3}ac=829\] \[b^2+c^2-bc=39\] If \(a+b+c=d+f \sqrt{3}\), find \(df\).

×

Problem Loading...

Note Loading...

Set Loading...