Question

What number "c" completes the square: x^2 - 14x + c

Answer 1

49

Explanation:

To complete the square we use the formula:

`c=((b)/(2) )^(2)`

So we can plug in 14 for b to find c.

`c=((14)/(2) )^(2)\\\\c=(7 )^(2)\\c=49`

Now this equation can be factored into:

`(x-7)^(2)`