Is:
n^2-9n+9 a perfect square??
4 answers
No
Can you please explain how you got this, so I can understand it better?
(n-3)(n-3) = n^2 -6 n + 9
unfortunately that 6 is not a 9
unfortunately that 6 is not a 9
Now we could try completing the square
n^2 - 9 n + 9 = y
n^2 - 9 n = y -9
n^2 - 9 n + (9/2)^2 = y - 9 + 81/4
so
n^2 - 9 n + 81/4
is a perfect square :)
(n-9/2)(n-9/2)
n^2 - 9 n + 9 = y
n^2 - 9 n = y -9
n^2 - 9 n + (9/2)^2 = y - 9 + 81/4
so
n^2 - 9 n + 81/4
is a perfect square :)
(n-9/2)(n-9/2)