Question

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

one
one

infinitely many
infinitely many

two
two

zero

Answer 1

2(x−5)^2 + 2 = 20
Subtract 2: 2(x−5)^2 = 18
Divide by 2: (x−5)^2 = 9
Take square roots: x−5 = ±3 → x = 5±3 → x = 8 or x = 2

So there are two solutions.