Question
Show how many solutions are in the solution set for 2(x−5)2+2=20 .(1 point) Responses one one zero zero two two infinitely many
Answers
GPT 3.5
The equation 2(x−5)2+2=20 can be rewritten as 2(x−5)2 = 18.
Dividing both sides by 2, we get (x−5)2 = 9.
Taking the square root of both sides, we have x−5 = ±3.
Adding 5 to both sides, we get x = 5 ± 3.
Therefore, there are two solutions in the solution set: x = 8 and x = 2.
So, the answer is "two".
Dividing both sides by 2, we get (x−5)2 = 9.
Taking the square root of both sides, we have x−5 = ±3.
Adding 5 to both sides, we get x = 5 ± 3.
Therefore, there are two solutions in the solution set: x = 8 and x = 2.
So, the answer is "two".