Which of the following are solutions to the equation below?
Check all that apply
x2 - 8x + 16 = 5

x =4 ±sqrt(5)

Step-by-step explanation:

x2 - 8x + 16 = 5

Complete the square

(x-4)^2 = 5

Take the square root of each side

sqrt((x-4)^2) = ±sqrt(5)

x-4 = ±sqrt(5)

Add 4 to each side

x-4+4 =4 ±sqrt(5)

x =4 ±sqrt(5)

Yes there are same because

Let r=1

then

12r-5 = ( 12*1)-5 = 12 -5 = 7

but

-5 + 12r = -5 + (12*1) = -5 + 12 =7