Try Newton sums, maybe!

Algebra Level 5

\[\large{\begin{cases} x_1^2+x_2^2=5 \\ 3(x_1^5+x_2^5)=11(x_1^3+x_2^3) \end{cases}} \]

Let \(F(x)\) be a monic quadratic polynomial with real coefficients with real roots \(x_1\) and \(x_2\) that satisfy the system of equations above. If the product of all distinct value of \(F(3) \) is \(\psi \), find \( \sqrt{\psi - 4} \).

×

Problem Loading...

Note Loading...

Set Loading...