JheneQ64762 JheneQ64762
  • 30-10-2022
  • Mathematics
contestada

solve the equation by completing the square. show all the solutions x^2 + 6x + 8 = 0

Respuesta :

SavanD175955 SavanD175955
  • 30-10-2022

Move the number term to the right side of the equation:

x^2 + 6x = -8

Complete the square:

(b/2)^2 = (6/2)^2 = 3^2 = 9

x^2+6x+9 = -8+9

(x+3)^2 = 1

Take square root in both sides of the equation:

x+3 = ± 1

Subtract 3 from both sides:

x+3-3 = 1-3

x = -2

or:

x+3-3=-1-3

x= -4

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