SOLUTION: A rectangular auditorium seats 1728 people. The number of seats in each row exceeds the number of rows by 12. Find the number of seats in each row.

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Question 1156064: A rectangular auditorium seats 1728 people. The number of seats in each row exceeds the number of rows by 12. 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 +x+ = the number of rows
+%28+x+%2B+12+%29%2Ax+=+1728+
+x%5E2+%2B+12x+=+1728+
I'll complete the square
+x%5E2+%2B+12x+%2B+%28+12%2F2+%29%5E2+=+1728+%2B+%28+12%2F2+%29%5E2+
+x%5E2+%2B+12x+%2B+36+=+1764+
+%28+x+%2B+6+%29%5E2+=+42%5E2+
+x+%2B+6+=+42+
+x+=+36+
and
+x+%2B+12+=+48+
there are 48 seats in each row
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check:
+%28+x+%2B+12+%29%2Ax+=+1728+
+%28+36+%2B+12+%29%2A36+=+1728+
+48%2A36+=+1728+
+1728+=+1728+
OK