anquanishatillis anquanishatillis
  • 31-03-2022
  • Mathematics
contestada

What is the intermediate step in the form (x + a)2 = b as a result of completing the square for the following equation? —2x^2 + 160 = 40x​

Respuesta :

mhanifa
mhanifa mhanifa
  • 13-04-2022

Answer:

  • See below for the steps

Step-by-step explanation:

Since no options are given, I'll add all the steps.

  • - 2x² + 160 = 40x
  • - x² + 80 = 20x
  • - x² - 20x + 80 = 0
  • x² + 20x - 80 = 0
  • x² + 2*x*10 + 10² - 10² - 80 = 0
  • (x + 10)² - 100 - 80 = 0
  • (x + 10)² - 180 = 0
  • (x + 10)² = 180
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