Question

What constant term should be used to complete the square? x 2 - 5x + _____ = 7

Answer 1

Given x^2-5x+c=7, the constant term c will be obtained using the formula:
c=(-b/2a)²
given that a=1 and b=-5 then plugging the values we shall have:
c=(-(-5)/2*1)²
c=(5/2)²
c=25/4

Answer: the constant is 25/4

Answer 2

Answer:

$c=\frac{25}{4}$

Step-by-step explanation:

The given equation is:

$x^2-5x+--=7$

Rewriting the above given equations, we have

$x^2-5x+c=7$ where c is the constant term that is used to complete the square.

Now, In order to get the constant term c, we use the formula that is

$c=(\frac{-b}{2a})^2$

where $a=1$ and $b=-5$

Substituting these values, we have

$c=(\frac{-(-5)}{2(1)})^2$

$c=(\frac{5}{2})^2$

$c=\frac{25}{4}$

Thus, $c=\frac{25}{4}$ is the constant term that is used to complete the square.