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# What is the value of x ? (1) x^3 = 6x − x^2 (2) 14x = x^3 + 5x^2

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Math Expert
Joined: 02 Sep 2009
Posts: 43307

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What is the value of x ? (1) x^3 = 6x − x^2 (2) 14x = x^3 + 5x^2 [#permalink]

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26 Nov 2017, 22:39
1
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Expert's post
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Difficulty:

45% (medium)

Question Stats:

57% (04:06) correct 43% (00:53) wrong based on 54 sessions

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What is the value of x ?

(1) $$x^3 = 6x − x^2$$

(2) $$14x = x^3 + 5x^2$$
[Reveal] Spoiler: OA

_________________

Kudos [?]: 139278 [1], given: 12782

Director
Joined: 18 Aug 2016
Posts: 627

Kudos [?]: 208 [0], given: 166

Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
What is the value of x ? (1) x^3 = 6x − x^2 (2) 14x = x^3 + 5x^2 [#permalink]

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26 Nov 2017, 22:45
Bunuel wrote:
What is the value of x ?

(1) $$x^3 = 6x − x^2$$

(2) $$14x = x^3 + 5x^2$$

(1)
x^3 = 6x − x^2
x (x^2 + x - 6) = 0
x (x+3) (x-2) = 0..multiple answers not sufficient

(2)
14x = x^3 + 5x^2
x(x^2 + 5x -14) = 0
x(x+7)(x-2) = 0....multiple answers not sufficient

on combining x=0 or 2
Not Sufficient
E
_________________

We must try to achieve the best within us

Thanks
Luckisnoexcuse

Last edited by Luckisnoexcuse on 26 Nov 2017, 22:52, edited 1 time in total.

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Re: What is the value of x ? (1) x^3 = 6x − x^2 (2) 14x = x^3 + 5x^2 [#permalink]

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26 Nov 2017, 22:49
Bunuel wrote:
What is the value of x ?

(1) $$x^3 = 6x − x^2$$

(2) $$14x = x^3 + 5x^2$$

From Stmnt 1: x(x+3)(X-2) = 0
From Stmnt 2: x(x+7)(x-2) = 0

Combined x= 2,0

Should be E

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Re: What is the value of x ? (1) x^3 = 6x − x^2 (2) 14x = x^3 + 5x^2 [#permalink]

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11 Dec 2017, 16:53
I got 2 or -3 for (1) and -7 or 2 for (2) so I picked C because x can be 2 in both (1) and (2). Why is that wrong?

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Re: What is the value of x ? (1) x^3 = 6x − x^2 (2) 14x = x^3 + 5x^2 [#permalink]

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11 Dec 2017, 17:01
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Hi
You have missed the case when x can be zero.
Hence by using both the statements, x can be 0 or 2.
Hence insufficient.

[the quote="najsh2"]I got 2 or -3 for (1) and -7 or 2 for (2) so I picked C because x can be 2 in both (1) and (2). Why is that wrong?

Posted from my mobile device[/quote]

Posted from my mobile device
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Re: What is the value of x ? (1) x^3 = 6x − x^2 (2) 14x = x^3 + 5x^2 [#permalink]

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11 Dec 2017, 17:02
gmatbusters wrote:
Hi
You have missed the case when x can be zero.
Hence by using both the statements, x can be 0 or 2.
Hence insufficient.

[the quote="najsh2"]I got 2 or -3 for (1) and -7 or 2 for (2) so I picked C because x can be 2 in both (1) and (2). Why is that wrong?

Posted from my mobile device

Posted from my mobile device[/quote]

Thats what i was missing. Its very clear. Thank you!

Sent from my iPhone using GMAT Club Forum mobile app

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Manager
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Re: What is the value of x ? (1) x^3 = 6x − x^2 (2) 14x = x^3 + 5x^2 [#permalink]

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12 Dec 2017, 03:46
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Hi najsh2
If u really like my explanation, please provide me Kudos... ?

najsh2 wrote:
gmatbusters wrote:
Hi
You have missed the case when x can be zero.
Hence by using both the statements, x can be 0 or 2.
Hence insufficient.

[the quote="najsh2"]I got 2 or -3 for (1) and -7 or 2 for (2) so I picked C because x can be 2 in both (1) and (2). Why is that wrong?

Posted from my mobile device

Posted from my mobile device

Thats what i was missing. Its very clear. Thank you!

Sent from my iPhone using GMAT Club Forum mobile app[/quote]

Posted from my mobile device
_________________

If you like my post, encourage me by providing Kudos...
Happy Learning...

Kudos [?]: 37 [1], given: 33

Re: What is the value of x ? (1) x^3 = 6x − x^2 (2) 14x = x^3 + 5x^2   [#permalink] 12 Dec 2017, 03:46
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