Let \(a, b, c, d, e\) be real numbers that satisfy the equations:
\(c+a=15\)
\(ac+b+d=85,\)
\(ad+bc+e=225,\)
\(ae+bd=274,\)
\(be=120.\)
Find the sum of all possible values of \(e\).
Here's a hint (a simpler problem)
This problem is part of the set ... and polynomials
by
Joel Tan
