Answer:
1/16
Step-by-step explanation:
Given the expression;
To find a constant that will make it a perfect square, we will use the square if the half of coefficient of x
Coefficient of x = 1/2
half of Coefficient of x = 1/2*(1/2)
Half of Coefficient of x = 1/4
square of the half of coefficient of x = (1/4)^2
square if the half of coefficient of x = 1/16
hence the constant that will make it a perfect square is 1/16