gracezhong10 gracezhong10
  • 22-11-2019
  • Mathematics
contestada

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

Respuesta :

Reese003
Reese003 Reese003
  • 22-11-2019

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

Answer Link

Otras preguntas

During the 1930s, dairy farmers in Georgia blocked highways and
How does Rousseau's Social Contract theory justify the need of social "safety nets" such as America's educational system?
How many homologous chromosomes alignments are possible for independent assortment during meiosis
People with high self-esteem do not blame others for the results of their actions. true or false?
In "the world is too much with us," what accounts for people's being "out of tune"? select the one most correct answer from the choices given. their disregard f
How did the English Civil War affect the establishment of colonies? A. Prior to the war they were mainly founded for religious reasons and afterward to achieve
Diplontic animals usually produce both eggs or sperm which are: (A) isogamous (B) anisogamous (c) oogamous
The regular price of a child's entry ticket to a water park is $8 less than that for an adult's. The park offers half off all entry tickets during the off-peak
Which of the following marine ecosystems consists of an aphotic zone? A. The intertidal zone B. The open ocean C. The wetland D. The coastal ocean
which wave, the top or bottom, has the larger frequency. explain why.