Ask Question
6 September, 14:19

When the natural number n was increased by 1, its square increased by 1001. Find n

+5
Answers (1)
  1. 6 September, 14:28
    0
    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “When the natural number n was increased by 1, its square increased by 1001. Find n ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers