Last visit was: 23 Nov 2024, 19:18 It is currently 23 Nov 2024, 19:18
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

Which of the following equations are equivalent to

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30016
Own Kudos [?]: 36367 [3]
Given Kudos: 25928
Send PM
Which of the following equations are equivalent to [#permalink] New post   25 Apr 2022, 00:00
1
Expert Reply
2
Bookmarks
00:00

Question Stats:

34% (01:01) correct 65% (01:21) wrong based on 26 sessions

Hide Show timer Statistics

Which of the following equations are equivalent to \(x^2+1=2x\)

Indicate all that apply


A. \(x^2+2x+1=0
\)

B. \((x-1)^3=0\)

C. \(x+1=2\)

D. \(0=0
\)

E. \( x^2=1\)


ShowHide Answer
Official Answer
B,C
User avatar
G
AkkuJi
Retired Moderator
Joined: 12 Feb 2022
Posts: 266
Own Kudos [?]: 228 [1]
Given Kudos: 68
Location: India
Concentration: Entrepreneurship, General Management
GPA: 3.5
Send PM
Re: Which of the following equations are equivalent to [#permalink] New post   25 Apr 2022, 11:04
1
x^2 +1 = 2x ----> x^2 - 2x + 1 =0 ----> (x-1)^2 =0 ----> x = 1

Only option B and C fulfill x = 1 , hence correct ans
avatar
B
kk117
Manager
Manager
Joined: 06 Jun 2021
Posts: 78
Own Kudos [?]: 13 [0]
Given Kudos: 61
Send PM
Re: Which of the following equations are equivalent to [#permalink] New post   04 May 2022, 00:45
I solved for x and got 1 and plugged in the values

I got the answer B, C, and E.

But the answer key mentions only B and C

Why can't E be the answer?
User avatar
D
rx10
Retired Moderator
Joined: 02 Dec 2020
Posts: 1831
Own Kudos [?]: 2146 [2]
Given Kudos: 140
GRE 1: Q168 V157

GRE 2: Q167 V161
Send PM
Re: Which of the following equations are equivalent to [#permalink] New post   04 May 2022, 19:40
2
Hey,

When we consider option \(E\), \(x\) can be \(-1\) & \(1\) both so we can't say for sure.

Hence \(E\) can't be the answer.

kk117 wrote:
I solved for x and got 1 and plugged in the values

I got the answer B, C, and E.

But the answer key mentions only B and C

Why can't E be the answer?
avatar
B
SivhHarish
Manager
Manager
Joined: 01 Apr 2022
Posts: 65
Own Kudos [?]: 15 [0]
Given Kudos: 79
Send PM
Re: Which of the following equations are equivalent to [#permalink] New post   23 Jun 2022, 02:51
AkkuJi wrote:
x^2 +1 = 2x ----> x^2 - 2x + 1 =0 ----> (x-1)^2 =0 ----> x = 1

Only option B and C fulfill x = 1 , hence correct ans


Hi there!
I dont understand how 'b' is a solution. Need explanation on that pls!
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30016
Own Kudos [?]: 36367 [1]
Given Kudos: 25928
Send PM
Which of the following equations are equivalent to [#permalink] New post   23 Jun 2022, 03:11
1
Expert Reply
\(x^2-2x+1=0\)

This is equal to

\((x-1)^2=0\)

This is equal to

\(x-1=0\)

This is equal to

x=1

all the answer choices that have one solution are equal to the question given in the stem

B is \((x-1)^3=0\). Taking cube root we do have x-1=0 so x=1

C is x+1=2 therefore we do have x=1

B and C are the only answer choices

See more here https://gre.myprepclub.com/forum/gre-math- ... tml#p81624
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5043
Own Kudos [?]: 74 [0]
Given Kudos: 0
Send PM
Re: Which of the following equations are equivalent to [#permalink] New post   22 Aug 2024, 02:10
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
gmatclubot
Re: Which of the following equations are equivalent to [#permalink]
22 Aug 2024, 02:10
Moderators:
adewale223
GRE Instructor
84 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1111 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact