Question

Find the value of n such that x^2-3x+n is a perfect square trinomial.

Please help.

Answer 1

For the given expression X² -3X + n and it is a perfect square trinomial.
The perfect square trinomial is in forms below:
(a-b)²
(a+b)²
When we assign n=9/4, we will have the equation below:
X² - 3X +9/4
=(X-(3/2))²

Therefore, the answer is "9/4".