n^2 - n = 552
n^2 - n -552 = 0
(n+23)(n-24) = 0
n = 24
n can also be negative 23
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552 square meters (m²) = 5,941.67855 square feet (ft²)
The smallest of these number is 225 and the largest is 552. So the range is 552-225 = 327.
552 square feet
Let n be the lower number then the higher number is n + 1. n (n + 1 ) = 552 : n² + n - 552 = 0 Solving for the roots of a quadratic equation gives :- n = [-1 ± √(1 + 2208)] ÷ 2 = [-1 ± √2209] ÷ 2 = [-1 ± 47]÷ 2 Taking just the positive root gives n = -½ + 23½ = 23 The two consecutive numbers are therefore 23 and 24. Whilst this is a very accurate but complicated process a much quicker result can be achieved by taking the square root of 552 = 23.5 (approx). Two consecutive numbers producing 552 must lie either side of the square root. A simple multiplication will reveal that the numbers are 23 and 24.
Area = pi*552 square mm