Question

complete the expression so it forms a perfect - square trinomial.
x² - 5x + √25/4
complete
x² + □x + 49
do
14
7
7/2

Explanation:

Step1: Recall perfect square formula

A perfect-square trinomial follows $x^2 + 2ax + a^2 = (x+a)^2$.

Step2: Identify $a$ from given constant

Given constant term is $49$, so $a^2=49$. Solve for $a$:
$a = \sqrt{49} = 7$

Step3: Calculate middle term coefficient

Middle term coefficient is $2a$. Substitute $a=7$:
$2a = 2\times7 = 14$

Answer:

14