How Do We Systematically Substitute Them?
Algebra
Level
3
\[P=\dfrac{a^2}{2a^2+bc}+\dfrac{b^2}{2b^2+ca}+\dfrac{c^2}{2c^2+ab}.\]
Let \(a,\) \(b\) and \(c\) be such that \(a + b + c = 0\).
Find the sum of all possible values of \(P \).
by
Ayush Rai