SOLUTION: Two ships leave port, one sailing east and the other sailing south. Some time later they are 17 mi apart, with the eastbound ship 7 mi farther from port than the souhbound ship.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Two ships leave port, one sailing east and the other sailing south. Some time later they are 17 mi apart, with the eastbound ship 7 mi farther from port than the souhbound ship.       Log On


   



Question 23042: Two ships leave port, one sailing east and the other sailing south. Some time later they are 17 mi apart, with the eastbound ship 7 mi farther from port than the souhbound ship. How far is each from port.
This is what i tried:
n squared + (n+2)squared=17 squared

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Shouldn't that be x%5E2+%2B%28x%2B7%29%5E2+=+17%5E2?
x%5E2+%2B+x%5E2+%2B14x+%2B+49+=+289
2x%5E2+%2B+14x+-+240=0
2%28x%5E2+%2B+7x+-+120%29+=+0
2%28x+%2B+15%29%28x-8%29=0
x=-15 reject
x=8 miles southbound ship
x+7 = 15 miles eastbound ship

R^2 at SCC