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