Asked by Amber
Is:
n^2-9n+9 a perfect square??
n^2-9n+9 a perfect square??
Answers
Answered by
Kuai
No
Answered by
Skye
Can you please explain how you got this, so I can understand it better?
Answered by
Damon
(n-3)(n-3) = n^2 -6 n + 9
unfortunately that 6 is not a 9
unfortunately that 6 is not a 9
Answered by
Damon
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)
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