Question

How do you solve `5n^2 + 19n - 68 = -2` by completing the square?

Answer 1

`y = 5(n^2 + 19n/5 - 66/5)`

`(n^2 + 19n/5 + (19/10)^2 - (19/10)^2 - 66/5)` = 0

`(n + 19/10)^2 = (361 + 132)/10)`

`(n + 19/10)^2 = 493/10 = 4.93`

`n + 1.9 = 2.22 --n = 2.22 - 1.9 = 0.32`

`n + 1.9 = -2.22 -> n = -2.22 - 1.9 = -4.12`