Last visit was: 10 Jun 2024, 16:18 It is currently 10 Jun 2024, 16:18
Decision Tracker
My Rewards
Unanswered
Active Topics
New posts
New comers' posts
Close
GMAT 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 GMAT 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

If (3 - x)^(1/2) = x^(1/2) + 3, then x^2 =

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93658
Own Kudos [?]: 630709 [2]
Given Kudos: 82217
Send PM
CAT Tests Forum Quiz Mode
If (3 - x)^(1/2) = x^(1/2) + 3, then x^2 = [#permalink] If (3 - x)^(1/2) = x^(1/2) + 3, then x^2 =   05 Oct 2021, 03:15
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

65% (hard)

Question Stats:

58% (02:42) correct 42% (02:56) wrong based on 66 sessions
Hide Show DIFFICULTY AND TIMER STATISTICS
If \(\sqrt{3-x}= \sqrt{x} + 3\), then \(x^2=\)

(A) 1
(B) 3
(C) 2 − 3x
(D) 3x − 1
(E) 3x − 9
ShowHide Answer
Official Answer
E
User avatar
L
PyjamaScientist
Admitted - Which School Forum Moderator
Joined: 25 Oct 2020
Posts: 1126
Own Kudos [?]: 1076 [2]
Given Kudos: 629
Schools: Ross '25 (M$)
GMAT 1: 740 Q49 V42 (Online)
Send PM
Reviews Badge
Re: If (3 - x)^(1/2) = x^(1/2) + 3, then x^2 = [#permalink] If (3 - x)^(1/2) = x^(1/2) + 3, then x^2 =   05 Oct 2021, 06:19
1
Kudos
1
Bookmarks
Option E is the correct answer.
Attachments

WhatsApp Image 2021-10-05 at 6.47.08 PM.jpeg
WhatsApp Image 2021-10-05 at 6.47.08 PM.jpeg [ 217.12 KiB | Viewed 2143 times ]

avatar
S
MBAHOUSE
MBA House Admissions Consultant
Joined: 26 May 2022
Posts: 343
Own Kudos [?]: 72 [0]
Given Kudos: 0
Send PM
Re: If (3 - x)^(1/2) = x^(1/2) + 3, then x^2 = [#permalink] If (3 - x)^(1/2) = x^(1/2) + 3, then x^2 =   20 Jul 2022, 08:14
Expert Reply
If \(\sqrt{3-x}= \sqrt{x} + 3\), then \(x^2=\)

(A) 1
(B) 3
(C) 2 − 3x
(D) 3x − 1
(E) 3x − 9
Attachments

017B06B7-B870-4F43-ABBE-7396012ABB29.jpeg
017B06B7-B870-4F43-ABBE-7396012ABB29.jpeg [ 445.11 KiB | Viewed 1319 times ]

User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18980
Own Kudos [?]: 22417 [1]
Given Kudos: 286
Location: United States (CA)
Send PM
Re: If (3 - x)^(1/2) = x^(1/2) + 3, then x^2 = [#permalink] If (3 - x)^(1/2) = x^(1/2) + 3, then x^2 =   20 Jul 2022, 22:50
1
Kudos
Expert Reply
Bunuel wrote:
If \(\sqrt{3-x}= \sqrt{x} + 3\), then \(x^2=\)

(A) 1
(B) 3
(C) 2 − 3x
(D) 3x − 1
(E) 3x − 9


Let's square each side of the given equation:

\(\Rightarrow\) (√(3 - x))^2 = (√x + 3)^2

\(\Rightarrow\) 3 - x = x + 6√x + 9

\(\Rightarrow\) -6 - 2x = 6√x

\(\Rightarrow\) -3 - x = 3√x

Let's square each side of the equation again:

\(\Rightarrow\) (-3 - x)^2 = (3√x)^2

\(\Rightarrow\) 9 + 6x + x^2 = 9x

\(\Rightarrow\) x^2 = 3x - 9

Answer: E
GMAT Club Bot
gmatclubot
Re: If (3 - x)^(1/2) = x^(1/2) + 3, then x^2 = [#permalink]
20 Jul 2022, 22:50
Moderator:
Bunuel
Math Expert
93658 posts