SOLUTION: A rectangular auditorium seats 2744 people. The number of seats in each row exceeds the number of rows by 7. Find the number of seats in each row.

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Question 1067653: A rectangular auditorium seats 2744 people. The number of seats in each row exceeds the number of rows by 7. Find the number of seats in each row.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the number of seats in each row
+n+-+7+ = the number of rows
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+n%2A%28+n+-+7+%29+=+2744+
+n%5E2+-+7n+-+2744+=+0+
+n+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+
+a+=+1+
+b+=+-7+
+c+=+-2744+
-----------------
+n+=+%28+-%28-7%29+%2B-+sqrt%28+%28-7%29%5E2+-+4%2A1%2A%28-2744%29+%29%29+%2F+%282%2A1%29+
+n+=+%28+7+%2B-+sqrt%28+49+%2B+10976+%29%29+%2F+2+
+n+=+%28+7+%2B-+sqrt%28+11025+%29%29+%2F+2+
+n+=+%28+7+%2B+105+%29+%2F+2+
+n+=+112%2F2+
+n+=+56+
There are 56 seats in each row
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check:
+n%2A%28+n+-+7+%29+=+2744+
+56%2A%28+56+-+7+%29+=+2744+
+56%2A49+=+2744+
+2744+=+2744+
OK