Chapter 8.3, Problem 44HP

To determine

The value of k.

Answer to Problem 44HP

  $7,12,15,or16$

Explanation of Solution

Given:

The given equation is:

  ${\text{x}}^2-8x+k,k>0$

Calculation:

In the given trinomial, b = -8 and c = k,

The product is negative. Therefore, the numbers should be such that they add to -8.

It is given that k > 0, therefore, both the numbers must be negative.

Two numbers that add to -8	Product of mp
-1,-7	7
-2,-6	12
-3,-3	15
-4,-4	16

The values of k will be:

  $\text{7, 12, 15, or 16}\text{. }$