Question

What are the solutions to the equation? n^2−8n+16=25

Answer 1

1. You have the quadratic equation n^2−8n+16=25 and to solve it, you must apply the proccedure below:

 n^2−8n+16=25
 n^2−8n+16-25=0
 n^2−8n-9=0

 2. When you factorize  n^2−8n-9=0, you obtain the following:

 (n-9)(n+1)=0

 3. Therefore the values of n1 and n2 are shown below:

 n1=9
 n2=-1