Answer:
49
Step-by-step explanation:
The expression is given below:
x^2 + 14x
Let y be the constant that will make the expression a perfect square. Therefore, the expression can be written as:
x^2 + 14x + y
Applying the formula b^2 = 4ac, we can easily obtain the value of y as shown below:
x^2 + 14x + y
Coefficient of x^2 (a) = 1
Coefficient of x (b) = 14
Constant (c) = y
b^2 = 4ac
14^2 = 4 x 1 x c
196 = 4c
Divide both side by the coefficient of c i.e 4
c = 196/4
c = 49
Thus, 49 must be added to the expression to make it a perfect square.
