SOLUTION: Show that the equation: 170 = (n + 2)(160/n - 3) can be written as 3n^2 + 16n - 320 = 0 All help is greatly appreciated

Algebra ->  Equations -> SOLUTION: Show that the equation: 170 = (n + 2)(160/n - 3) can be written as 3n^2 + 16n - 320 = 0 All help is greatly appreciated      Log On


   



Question 499338: Show that the equation: 170 = (n + 2)(160/n - 3) can be written as 3n^2 + 16n - 320 = 0
All help is greatly appreciated

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming you mean:
170+=+%28n%2B2%29%2A%28160%2F%28n-3%29%29
170+=+%28%28n%2B2%29%2A%28160%29%2F%28n-3%29%29
cross multiply
170%2A%28n-3%29+=+%28n%2B2%29%2A160
170n+-+510+=+160n+%2B+320
10n+=+830
n+=+83
That defines a horizontal line at 83.
.
3n%5E2+%2B16n+-320+=+0
This is a quadratic equation, so it cannot define a straight line.
.
Perhaps your expressions are different than they appear above.