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If (x+2)^2 = 225, which of the following could be the value of x−2?

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Kudos [?]: 128604 [0], given: 12180

If (x+2)^2 = 225, which of the following could be the value of x−2? [#permalink]

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New post 04 Aug 2017, 09:17
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

62% (00:44) correct 38% (00:45) wrong based on 102 sessions

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Kudos [?]: 128604 [0], given: 12180

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Senior Manager
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Joined: 24 Apr 2016
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Kudos [?]: 185 [1], given: 48

Re: If (x+2)^2 = 225, which of the following could be the value of x−2? [#permalink]

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New post 04 Aug 2017, 10:10
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(x+2)^2 = 225 = 15^2

therefore, |x+2| = 15

x+2 = 15 or x+2 = -15

x = 13 or x = -17

x-2 = 13-2 = 11 or x-2 = -17 - 2 = -19

Answer is E

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Re: If (x+2)^2 = 225, which of the following could be the value of x−2? [#permalink]

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New post 04 Aug 2017, 10:59
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Bunuel wrote:
If (x+2)^2 = 225, which of the following could be the value of x−2?

A. 15
B. 13
C. -13
D. -17
E. -19


\((x+2)^2 = 225\)

\((x+2)^2 = (15)^2\) or \((-15)^2\)

Therefore;

\(x + 2 = (+15)\) or \((-15)\)

Lets check both options.

\(x + 2 = 15\)

\(x = 15 - 2 => 13\)

\(x-2 => 13 - 2 = 11\)

There is no option with this answer.

\(x + 2 = -15\)

\(x = -15 - 2 => -17\)

\(x - 2 => -17 - 2 = -19\)

Answer (E)...

Kudos [?]: 296 [1], given: 261

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Re: If (x+2)^2 = 225, which of the following could be the value of x−2? [#permalink]

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New post 05 Aug 2017, 11:20
Bunuel wrote:
If (x+2)^2 = 225, which of the following could be the value of x−2?

A. 15
B. 13
C. -13
D. -17
E. -19


(x+2)^2 = 225
=> x+2 = 15 or x+2 = -15
=> x-2 = 11 or x-2 = -19

Answer E
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Kudos [?]: 944 [0], given: 72

Re: If (x+2)^2 = 225, which of the following could be the value of x−2?   [#permalink] 05 Aug 2017, 11:20
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If (x+2)^2 = 225, which of the following could be the value of x−2?

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