GIVEN:
We are given the expression;
[tex]x^2+14x[/tex]Required;
To determine the constant term that must be added to the expression to make it a perfect square.
Step-by-step solution;
To make the expression a perfect square, we begin by taking the coefficient of x and dividing this by 2. Next we square the result. This is shown below;
[tex]\begin{gathered} Coefficient\text{ }of\text{ }x=14 \\ \\ \frac{14}{2}=7 \\ \\ 7^2=49 \end{gathered}[/tex]Our new expresssion now becomes;
[tex]x^2+14x+49[/tex]Therefore,
ANSWER:
The constant that must be added is 49.
