Question

Show how many solutions are in the solution set for 2(x−5)^2+2=20
.(1 point)
Responses

two
two

one
one

zero
zero

infinitely many
infinitely many

Answer 1

2

Work: 2(x−5)^2 + 2 = 20
=> 2(x−5)^2 = 18
=> (x−5)^2 = 9
=> x−5 = ±3 => x = 8 or x = 2.