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

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Math Expert
Joined: 02 Sep 2009
Posts: 46264
If (x+2)^2 = 225, which of the following could be the value of x−2? [#permalink]

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04 Aug 2017, 09:17
00:00

Difficulty:

35% (medium)

Question Stats:

61% (00:40) correct 39% (01:07) wrong based on 126 sessions

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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

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Joined: 24 Apr 2016
Posts: 333
Re: If (x+2)^2 = 225, which of the following could be the value of x−2? [#permalink]

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04 Aug 2017, 10:10
1
(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

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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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04 Aug 2017, 10:59
1
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.

$$x + 2 = -15$$

$$x = -15 - 2 => -17$$

$$x - 2 => -17 - 2 = -19$$

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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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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

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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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