Answer:
6=n and -2=n
Step-by-step explanation:
The distance between two points is found by
d = sqrt(( x2-x1)^2 + (y2-y1)^2)
5 = sqrt(( n-2)^2 + (4-1)^2)
5 = sqrt(( n-2)^2 + (3)^2)
Square each side
5^2 = sqrt(( n-2)^2 + (3)^2)^2
25 = ( n-2)^2 + (3)^2
25 = (n-2)^2 +9
Subtract 9 from each side
25-9 = (n-2)^2 +9-9
16 = (n-2)^2
Take the square root of each side
sqrt(16) = sqrt( (n-2)^2)
±4 = n-2
Add 2 to each side
2±4 = n-2+2
2 ±4 = n
2+4 =n and 2-4 =n
6=n and -2=n
