Question

What is the value of n so that the expression x2 11x n is a perfect square trinomial

Answer 1

`n=(121)/(4)`

Step-by-step explanation:

Since we know that perfect square trinomial formula states that any trinomial of the form
`ax^(2) +bx+c` is said to a perfect square if it satisfies the condition
`b^(2) =4ac`.

We are given an expression
`x^(2) ?11x ?n` and asked to find value of n for expression to be a perfect square trinomial .

Let us compare our expression with perfect square trinomial formula.

We can see that a=1, b=11 and c=n.

Let us find value of n by substituting our given values in
`b^(2) =4ac`.

`11^(2) =4*1*n`

`121 =4n`.

`n=(121)/(4)`

Therefore,
`n=(121)/(4)` will make the expression
`x^(2) ?11x ?n` a perfect square trinomial.