Question

The difference of the square of a number and 16 is equal to 6 times that number. Find the negative solution

Answer 1

Answer:

the negative solution.  It is n = -2

Step-by-step explanation:

Let n represent the number.  Then n² - 16 = 6n, and, after rearrangement,

n² - 6n - 16 = 0.  This factors as follows:  

n² - 6n - 16 = 0 = (n - 8)(n + 2) = 0, and so n = 8 or n = -2.

We are to find the negative solution.  It is n = -2.