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# What is the value of x?

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Math Expert
Joined: 02 Sep 2009
Posts: 44635
What is the value of x? [#permalink]

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13 Mar 2018, 08:33
00:00

Difficulty:

35% (medium)

Question Stats:

72% (00:44) correct 28% (01:07) wrong based on 43 sessions

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What is the value of x?

(1) $$\sqrt{x^4} = 9$$

(2) The average (arithmetic mean) of x^2, 6x, and 3 is -2
[Reveal] Spoiler: OA

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Intern
Joined: 24 Aug 2016
Posts: 45
GMAT 1: 540 Q49 V16
GMAT 2: 640 Q47 V31
Re: What is the value of x? [#permalink]

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13 Mar 2018, 10:19
1. rt x^4 = 9 => x= -3, +3 NS
2. x^2 + 6x + 3 = -6 => (x+3)=0 or -(x+3)=0 => x= -3, +3 NS
1. & 2. x= -3, +3 NS

Thus E
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Joined: 22 Aug 2013
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Location: India
Re: What is the value of x? [#permalink]

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13 Mar 2018, 10:48
u1983 wrote:
1. rt x^4 = 9 => x= -3, +3 NS
2. x^2 + 6x + 3 = -6 => (x+3)=0 or -(x+3)=0 => x= -3, +3 NS
1. & 2. x= -3, +3 NS

Thus E

Hello

As per your second statement analysis:
whether x+3 = 0 or -(x+3) = 0 ; isnt x always going to be '-3' only? So isnt the second statement sufficient on its own?
Intern
Joined: 24 Aug 2016
Posts: 45
GMAT 1: 540 Q49 V16
GMAT 2: 640 Q47 V31
Re: What is the value of x? [#permalink]

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13 Mar 2018, 11:03
yes.... u r rt... missed that part ... in that case B
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Intern
Joined: 23 Jul 2015
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What is the value of x? [#permalink]

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13 Mar 2018, 18:51
1) $$\sqrt{x^4}$$ = 9
$$x^\frac{4}{2}$$ = 9
$$x^2$$ = 9
x= +3 or -3
insuff

(2) The average (arithmetic mean) of x^2, 6x, and 3 is -2

$$\frac{x^2+6x+3}{3}$$= -2
$$x^2+6x+3$$ = -6
$$x^2+6x+9 = 0$$
(x+3) (x+3) = 0
x=-3
suff

ans
[Reveal] Spoiler:
b
What is the value of x?   [#permalink] 13 Mar 2018, 18:51
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