Answer:
7
Explanation:
You want the constant q when 4x² -8x -24 = 0 is written as (x -p)² = q.
Rewrite
First, we can divide by 4:
x² -2x -6 = 0
To make the left side a perfect square, the constant there needs to be +1. Adding 7 to both sides will make it so:
x² -2x +1 = 7
(x -1)² = 7 . . . . . . . (p, q) = (1, 7)
The value of q is 7.
__
Additional comment
The square of a binomial is ...
(x +b)² = x² +2bx +b²
The constant term (b²) is the square of half the coefficient of x. In the above equation, the coefficient of x is -2, so the constant needs to be ...
(-2/2)² = 1
<95141404393>