What is the answer for 2n^2-8n=-9?

2n^2-8n=9

divide by 2

2 (n^2-4n) = 9

add (4/2) ^2 = 4 to each side completing the square

(n^2-4n+4) = 9/2+4

(n-2) ^2 = 9/2+8/2

(n-2) ^2 = 17/2

take the square root of each side

n-2 = + -sqrt (17/2)

add 2 to each side

n = 2 + - sqrt (17/2)

Answer:2 + sqrt (17/2),2 - sqrt (17/2)