Answer:
The value of n is 30.25.
Step-by-step explanation:
The given expression is
\(x^2+11x+n\) ....(1)
The perfect square trinomial are defined as
\((x+y)^2=x^2+2xy+y^2\) .....(2)
On comparing (1) and (2), we get
\(2y=11\)
\(y=\frac{11}{2}\)
The given expression is perfect square trinomial if
\(n=y^2\)
\(n=(\frac{11}{2})^2\)
\(n=\frac{121}{4}\)
\(n=30.25\)
Therefore the value of n is 30.25.
