in an auditorium (1482+x) chairs are placed such that the number of rows is equal to the number of columns. find the least value of x
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Answered by
10
Answer:
39.....
number of rows = columns = 39.
Step-by-step explanation:
let the number of rows = n.
As the number of rows and columns are equal, the total number of chairs placed in the auditorium = n * n = n²
Given n² = 1482 + x
here x = a non negative integer. we have to find the minimum value of x so that the above equation is valid.
Perfect squares above 1482 are 1521, 1600.
So let n² = 1482 + x = 1521
x = 39
n = 39.
Answered by
2
:-
To arrange the chairs in equal number of rows and columns, the total number of chairs should be a square number.
The square number next to 1482 is 1521=39²
1521=1482+39 ⇒ x=39
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