Question

Completing the square:

Answer 1

Answer:

Step-by-step explanation:

Key to this method is remembering that

$(a+b)^2 = a^2 + 2ab + b^2$

So, if you divide the coefficient of x by 2 and square it, that will complete the square. With that in mind, things are easy.

6/2 = 3, so add $3^2 = 9$

$x^2+6x+9 = (x+3)^2$

So, c=9

Similarly, for the other two,

$c = (\frac{-34}{2} )^2 = (-17)^2 = 289$

You don't really have to worry about the sign, since squaring will always make it positive

$(\frac{25}{13}) ^2 = \frac{625}{169}$