Which value must be added to the expression x2 + x to make it a perfect square trinomial?
A perfect square trinomial is the one, which gives specific roots value when square rooted.
Answer: We need to add 1/4(c2) to the expression x2 + x to make it a perfect square.
Go through the explanation to understand the steps involved.
Let the unknown constant value be c2, that will make it a perfect square.
⇒ x2 + x + c2
Comparing this to a perfect square, that is, a2 + 2ab + b2, we get
x = 2ab, x = a, c = b
The value of b comes out to be equal to 1/2 which is also equal to c.