BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

If sq rt (3-2x) = sq rt (2x) + 1.....

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Master | Next Rank: 500 Posts
Posts: 163
Joined: Tue Nov 24, 2009 7:56 amFollowed by: 4 members
Location: Philadelphia
Thanked: 13 times
GMAT Score:660
by chendawg » Sun Mar 06, 2011 1:57 pm
If sq rt (3-2x) = sq rt (2x) + 1, then 4x^2=

A. 1
B. 4
C. 2 - 2x
D. 4x - 2
E. 6x - 1

Source: OG 12

OA after some discussion.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members
Location: New York, NY
Thanked: 13060 times
GMAT Score:790

by GMATGuruNY » Sun Mar 06, 2011 3:30 pm
chendawg wrote:If sq rt (3-2x) = sq rt (2x) + 1, then 4x^2=

A. 1
B. 4
C. 2 - 2x
D. 4x - 2
E. 6x - 1

Source: OG 12

OA after some discussion.
Since none of the answer choices contains a √, we need to perform algebra that will clear all the √ symbols:

√(3-2x) = √2x + 1

[√(3-2x)]² = (√2x + 1)²

3 - 2x = (√2x + 1)(√2x + 1)

3 - 2x = 2x + √2x + √2x + 1

2 - 2x = 2x + 2√2x

1 - x = x + √2x

1 - 2x = √2x

(1 - 2x)² = (√2x)²

(1 - 2x)(1 - 2x) = 2x

1 - 2x - 2x + 4x² = 2x

4x² = 6x - 1.

The correct answer is E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 543
Joined: Tue Jun 15, 2010 7:01 pmFollowed by: 3 members
Thanked: 147 times

by anshumishra » Sun Mar 06, 2011 3:40 pm
chendawg wrote:If sq rt (3-2x) = sq rt (2x) + 1, then 4x^2=

A. 1
B. 4
C. 2 - 2x
D. 4x - 2
E. 6x - 1

Source: OG 12

OA after some discussion.
√(3-2x) - √2x = 1; square both sides
=> 3-2x + 2x - 2√(3-2x)(2x) = 1
=> 2√(3-2x)(2x) = 2
=> √(3-2x)(2x) = 1; square both sides
=> (3-2x)*2x = 1
=> 6x - 4x^2 = 1
=> 4x^2 = 6x - 1, E
Thanks
Anshu

(Every mistake is a lesson learned )
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 163
Joined: Tue Nov 24, 2009 7:56 amFollowed by: 4 members
Location: Philadelphia
Thanked: 13 times
GMAT Score:660

by chendawg » Wed Mar 09, 2011 8:33 am
OA is indeed E.

I'm not sure if I would be able to figure out to do another square under test conditions, is there a clue for future problems?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8137
Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members
Location: Los Angeles, CA
Thanked: 43 times

by Scott@TargetTestPrep » Mon Apr 16, 2018 3:47 pm
chendawg wrote:If sq rt (3-2x) = sq rt (2x) + 1, then 4x^2=

A. 1
B. 4
C. 2 - 2x
D. 4x - 2
E. 6x - 1
Squaring both sides of the equation, we have:

3 - 2x = 2x + 1 + 2√(2x)

2 - 4x = 2√(2x)

1 - 2x = √(2x)

Squaring both sides of the equation again, we have:

1 + 4x^2 - 4x = 2x

4x^2 = 6x - 1

Answer:E

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1