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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If (2x + 1)^2 = 100, then which one of the following COULD e  Question banks Downloads My Bookmarks Reviews Important topics
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Founder  Joined: 18 Apr 2015
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GRE 1: Q160 V160 Followers: 305

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If (2x + 1)^2 = 100, then which one of the following COULD e [#permalink]
Expert's post 00:00

Question Stats: 76% (00:36) correct 23% (00:25) wrong based on 26 sessions
If $$(2x + 1) ^2 = 100$$, then which one of the following COULD equal x ?

(A) $$\frac{-11}{2}$$

(B) $$\frac{-9}{2}$$

(C) $$\frac{11}{2}$$

(D) $$\frac{13}{2}$$

(E) $$\frac{17}{2}$$
[Reveal] Spoiler: OA

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Posts: 14
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Kudos [?]: 17  , given: 2

Re: If (2x + 1)^2 = 100, then which one of the following COULD e [#permalink]
1
KUDOS
Consider (2x + 1) as Y
We are given
Y^2 = 100
Therfore,
Y = + 10 or -10

That is
2x + 1 = 10
2x = 9
x = 9/2

OR

2x + 1 = -10
2x = -11
x = -11/2

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Message/Whatsapp: +91-9686497804 Manager  Joined: 06 Jun 2018
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Re: If (2x + 1)^2 = 100, then which one of the following COULD e [#permalink]
1
KUDOS
Carcass wrote:
If $$(2x + 1) ^2 = 100$$, then which one of the following COULD equal x ?

(A) $$\frac{-11}{2}$$

(B) $$\frac{-9}{2}$$

(C) $$\frac{11}{2}$$

(D) $$\frac{13}{2}$$

(E) $$\frac{17}{2}$$

Given

( 2x +1 )^2 = 100

2x + 1 = 10 or -10

So, x has to 2 different values.

2x +1 = 10

x = 9/2

or

2x + 1 = -10

2x = -11

x = -11/2.

Director  Joined: 22 Jun 2019
Posts: 517
Followers: 5

Kudos [?]: 106 , given: 161

Re: If (2x + 1)^2 = 100, then which one of the following COULD e [#permalink]
Carcass wrote:
If $$(2x + 1) ^2 = 100$$, then which one of the following COULD equal x ?

(A) $$\frac{-11}{2}$$

(B) $$\frac{-9}{2}$$

(C) $$\frac{11}{2}$$

(D) $$\frac{13}{2}$$

(E) $$\frac{17}{2}$$

Official Explanation from Nova

Attachment: Screenshot from 2019-11-02 21-11-26.png [ 81.97 KiB | Viewed 611 times ]

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Founder  Joined: 18 Apr 2015
Posts: 13720
GRE 1: Q160 V160 Followers: 305

Kudos [?]: 3553 , given: 12681

Re: If (2x + 1)^2 = 100, then which one of the following COULD e [#permalink]
Expert's post

Thank you
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Director  Joined: 22 Jun 2019
Posts: 517
Followers: 5

Kudos [?]: 106 , given: 161

Re: If (2x + 1)^2 = 100, then which one of the following COULD e [#permalink]
Carcass wrote:

Thank you

It takes time coz the developers do not make it easy or simple to write. By the way, next time I will try, Thanks @Carcass.
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Posting Rules: QUANTITATIVE | VERBAL

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Founder  Joined: 18 Apr 2015
Posts: 13720
GRE 1: Q160 V160 Followers: 305

Kudos [?]: 3553 , given: 12681

Re: If (2x + 1)^2 = 100, then which one of the following COULD e [#permalink]
Expert's post
How is not simple ??

when you type a reply upon the text box you do have the tag to create fraction or exponents. It is that simple Show me what you wanna do for instance. I will help you
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- GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. Re: If (2x + 1)^2 = 100, then which one of the following COULD e   [#permalink] 02 Nov 2019, 08:13
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