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22.11.2019 •
Mathematics
When the natural number n was increased by 1, its square increased by 1001. find n
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Ответ:
Let n^2 = x
Thus,
(n + 1)^2 = (x + 1001)
(n + 1)^2 - 1001 = x
substitute x with n^2, getting:
(n + 1)^2 - 1001 = n^2
(n^2 + 2n + 1) - 1001 = n^2
n^2 - n^2 + 2n = 1001 - 1
2n = 1000
n = 500
Ответ: