Question

Find the positive constant c that makes the quadratic the square of a binomial.

x^2+cx+25

Help would really be appreciated. put it up for 50 points

Answer 1

I think its 6

Explanation:

Answer 2

Explanation:

Outline

You could have 2 values. The way to get them is to take the square root of 25, c is double the value you get for the first step. Why 25? Well you only have 1 other choice and that is the 1 that is in front of the x^2. That's not very helpful.

Formula

c = ± 2*sqrt(25)

Solution

c = ± 2 * sqrt(25)

c = ± 2 * 5

c = ± 10

Comment

Where does the ± come from?

You need to get + 25

If you have (x - 5)(x - 5) the last term will be -5 * - 5 = 25

Similarly you get the same result with (x + 5)(x + 5)