Question

Determine the constant term that must be added to the expression to make it a perfect square.x^2+14x

Answer 1

GIVEN:

We are given the expression;

`x^2+14x`

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;

`\begin{gathered} Coefficient\text{ }of\text{ }x=14 \\ \\ (14)/(2)=7 \\ \\ 7^2=49 \end{gathered}`

Our new expresssion now becomes;

`x^2+14x+49`

Therefore,

ANSWER:

The constant that must be added is 49.