Squary Polynomial
Algebra
Level
4
Let \(f(x)\) be a monic quartic polynomial such that ,
\(f(0.5)=\frac{25}{16}\)
\(f(0.\overline{3})=\frac{100}{81}\)
\(f(0.25)=\frac{289}{256}\)
\(f(0.2)=\frac{676}{625}\)
Evaluate : \(\phi \left (f(10)+f(9) \right )\)
by
Chinmay Sangawadekar