Question

Which equations have exactly one solution? Select all that apply. (A1.A.REI.B.2)

2(x−8)=16

x(x−8)=16

2(x−8)2=0

2x(x−8)=16

(x−2)(x−8)=0

x2−8=0

Answer 1

2(x-8) = 16

Explanation:

Criterion: equations have exactly one solution each if the highest power of x is 1 (linear function).

Those listed here that have exactly one solution are:

2(x-8) = 16

All the other are 2nd order and thus have two solutions each.