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If (x + 3)2 = 225, which of the following could be the value

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If (x + 3)2 = 225, which of the following could be the value [#permalink]  17 Jul 2018, 11:37
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Question Stats:

42% (00:51) correct 57% (00:54) wrong based on 19 sessions
If $$(x + 3)^2 = 225$$, which of the following could be the value of $$x - 1$$?

(A) 13
(B) 12
(C) –12
(D) –16
(E) –19
[Reveal] Spoiler: OA

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Sandy
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Joined: 06 Jun 2018
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Re: If (x + 3)2 = 225, which of the following could be the value [#permalink]  18 Jul 2018, 12:25
sandy wrote:
If $$(x + 3)^2 = 225$$, which of the following could be the value of $$x - 1$$?

(A) 13
(B) 12
(C) –12
(D) –16
(E) –19

Given

$$(x + 3)^2$$ = 225

x + 3 = 15 or -15

Note: 15*15 =225 or -15*(-15) =225

So we will have 2 sets of values here.

Case 1 :

x + 3 = 15

x = 12

Case 2 :

x + 3 = -15

x = -18.

Question : the value of x-1.

-18 -1 = -19

Option E fits.
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Re: If (x + 3)2 = 225, which of the following could be the value [#permalink]  10 Apr 2019, 06:02
I tried a different approach:

If A) x-1=13 > x=14

Then,

B) x=13
C) x=-11
D) x=-15
E) x=-18

As (x+3)^2=225, I need to pick one option equal to 225
A) (14+3)^2= 225
B) (13+3)^2 =225
C) (-11+3)^2= 225
D) (-15+3)^2= 225

E) (-18+3)^2= 225

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Diana

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Re: If (x + 3)2 = 225, which of the following could be the value   [#permalink] 10 Apr 2019, 06:02
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