aungsanlin2002
aungsanlin2002 aungsanlin2002
  • 19-03-2020
  • Mathematics
contestada

Find the zeros of y= x2 - 4x - 9 by completing the square.
Ο Α. x = 24/13
Β. χ = 3! 13
Ο
Ο
C. = 43
Ο
Ο D. χ = -2 + 13

Find the zeros of y x2 4x 9 by completing the square Ο Α x 2413 Β χ 3 13 Ο Ο C 43 Ο Ο D χ 2 13 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 19-03-2020

Answer:

A

Step-by-step explanation:

To find the zeros equate y to zero, that is

x² - 4x - 9 = 0 ( add 9 to both sides )

x² - 4x = 9

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 2)x + 4 = 9 + 4

(x - 2)² = 13 ( take the square root of both sides )

x - 2 = ± [tex]\sqrt{13}[/tex] ( add 2 to both sides )

x = 2 ± [tex]\sqrt{13}[/tex] → A

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