callie112502davis callie112502davis
  • 14-05-2020
  • Mathematics
contestada

Fill in the blank with the correct response.


If x is a whole number and 437 = (21 + x)(21 - x), then x = ?

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Respuesta :

crisalma018 crisalma018
  • 14-05-2020

Answer:

2

Step-by-step explanation:

Answer Link
devishri1977
devishri1977 devishri1977
  • 14-05-2020

Answer:

Step-by-step explanation:

437 = (21 + x)(21 - x)

(21 + x)(21 - x) = 437             {(a + b)(a - b)= a² - b²}

21² - x² = 437

441 - x² = 437          {subtract 441 from both sides}

-x² = 437 - 441  

-x² = - 4             {Divide both sides by [-1] }

x² = 4

x² = 2²

x = 2

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