Question

What is the missing constant term in the perfect square that starts with x^2+\dfrac{1}{2}xx

2

+

2

1

​

xx, squared, plus, start fraction, 1, divided by, 2, end fraction, x ?

Answer 1

Answer:

1/16

Step-by-step explanation:

Given the expression;

$x^2+\dfrac{1}{2}x$

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