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# What is the value of x?

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Math Expert
Joined: 02 Sep 2009
Posts: 52230
What is the value of x?  [#permalink]

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13 Mar 2018, 07:33
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Difficulty:

35% (medium)

Question Stats:

71% (01:16) correct 29% (01:26) wrong based on 56 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

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Re: What is the value of x?  [#permalink]

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13 Mar 2018, 09:19
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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Re: What is the value of x?  [#permalink]

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13 Mar 2018, 09:48
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?
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Concentration: Entrepreneurship, Operations
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Re: What is the value of x?  [#permalink]

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13 Mar 2018, 10:03
yes.... u r rt... missed that part ... in that case B
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What is the value of x?  [#permalink]

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13 Mar 2018, 17:51
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
What is the value of x? &nbs [#permalink] 13 Mar 2018, 17:51
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# What is the value of x?

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