atuifel
contestada

If using the method of completing the square to solve the quadratic equation
x^2+2x – 31 = 0, which number would have to be added to "complete the
square"?
==

Respuesta :

mhanifa

Answer:

  • See below

Step-by-step explanation:

Given equation:

  • x² + 2x - 31 = 0

Complete square as follows:

  • x² + 2x + 1 - 31 = 1
  • (x + 1)² = 32
  • x + 1 = ± √32
  • x = - 1 ± 4√2
VirαtKσhli

Step-by-step explanation:

We need to solve the equation using completing the square method .

=> x² - 2x - 31 = 0

=> x² -2*1*x + 1² - 1² - 31 = 0

=> ( x -1)² - 32 = 0

=> (x+1)² = 32

=> x +1 = ±√32

=> x = ±4√2 - 1

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