Weird inequalities!

Algebra Level 5

\[ \large a^2 + b^3 + c^4 \]

It is given that \(a,b\) and \(c\) are positive real numbers such that \(a+b^2+c^3 = \dfrac{325}9\).

If the minimum value of the expression above can be expressed as \( \dfrac PQ \) for coprime positive integers \(P\) and \(Q\), find the value of \(P + Q\).

×

Problem Loading...

Note Loading...

Set Loading...