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

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

3x + 4y -25 =0 represents the amount of change sianna should recieve

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

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