Which of the following are solutions to the equation below?
Check all that apply.
X2-8x + 16 = 5
A. x = -5+4
B. X= 7+ 4
C. x = 15.4
D. X= 5 - 4
E. x= -5-4
F. x=-11-4

Which of the following are solutions to the equation below Check all that apply X28x 16 5 A x 54 B X 7 4 C x 154 D X 5 4 E x 54 F x114 class=

Respuesta :

Answer:

A. [tex]x = -\sqrt 5 +4[/tex]

C. [tex]x = \sqrt 5 +4[/tex]

Step-by-step explanation:

  • [tex]{x}^{2} - 8x + 16 = 5[/tex] (Given equation)

  • [tex]\implies {x}^{2} - 8x + (4)^2 = 5[/tex]

  • [tex]\implies ({x}-4)^{2} = 5[/tex]

  • [tex]\implies {x}-4=\pm\sqrt 5[/tex]

  • [tex]\implies {x}=\pm\sqrt 5+4[/tex]

  • [tex]\implies {x}=\sqrt 5+4,\:\:{x}=-\sqrt 5+4[/tex]