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Is x equal to 1? (1) (3x – 2) + (3x + 2) = 6 (2) x^2 + 2x = 3

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Intern
Joined: 16 Dec 2018
Posts: 6
Is x equal to 1? (1) (3x – 2) + (3x + 2) = 6 (2) x^2 + 2x = 3  [#permalink]

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16 Dec 2018, 08:00
00:00

Difficulty:

25% (medium)

Question Stats:

68% (00:57) correct 32% (00:56) wrong based on 61 sessions

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Is x equal to 1?

(1) (3x – 2) + (3x + 2) = 6
(2) x^2 + 2x = 3
Manager
Joined: 24 Jun 2013
Posts: 144
Location: India
Schools: ISB '20, GMBA '20
Re: Is x equal to 1? (1) (3x – 2) + (3x + 2) = 6 (2) x^2 + 2x = 3  [#permalink]

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16 Dec 2018, 08:24
Mahimab wrote:
Is x equal to 1?

(1) (3x – 2) + (3x + 2) = 6
(2) x^2 + 2x = 3

1) (3x – 2) + (3x + 2) = 6 ; solving for x we have x = $$\frac{5}{6}$$ thus x is surely not equal to 1 ; suff
2) x^2 + 2x = 3; factorizing x can be -3 or 1 ; not suff

A
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Intern
Joined: 16 Dec 2018
Posts: 6
Re: Is x equal to 1? (1) (3x – 2) + (3x + 2) = 6 (2) x^2 + 2x = 3  [#permalink]

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16 Dec 2018, 09:25
doomedcat wrote:
Mahimab wrote:
Is x equal to 1?

(1) (3x – 2) + (3x + 2) = 6
(2) x^2 + 2x = 3

1) (3x – 2) + (3x + 2) = 6 ; solving for x we have x = $$\frac{5}{6}$$ thus x is surely not equal to 1 ; suff
2) x^2 + 2x = 3; factorizing x can be -3 or 1 ; not suff

A

Solving the first statement gives x=1, not x=5/6.
GMAT Tutor
Joined: 07 Nov 2016
Posts: 56
GMAT 1: 760 Q51 V42
Re: Is x equal to 1? (1) (3x – 2) + (3x + 2) = 6 (2) x^2 + 2x = 3  [#permalink]

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16 Dec 2018, 22:14
Is x = 1 ?

St 1 : (3x-2) + (3x+2) = 6

Simplifying, 6x = 6
x = 1

Sufficient

St 2 ; x^2 + 2x = 3

We can express the equation as x(x+2) = 1 * 3
By inspection x = 1 or x = -3
Not Sufficient

Choice A
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Re: Is x equal to 1? (1) (3x – 2) + (3x + 2) = 6 (2) x^2 + 2x = 3  [#permalink]

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16 Dec 2018, 22:44
Mahimab wrote:
Is x equal to 1?

(1) (3x – 2) + (3x + 2) = 6
(2) x^2 + 2x = 3

OA:A

Is x equal to 1?

(1) $$(3x – 2) + (3x + 2) = 6$$

Solving $$6x=6$$; $$x=1$$

there is a definite answer to Is x equal to 1?,that is yes.

Statement 1 alone is sufficient.

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

$$x^2 + 3x-1x-3 = 0$$

$$x(x+3)-1(x+3)=0$$

$$(x-1)(x+3)=0$$

$$x=1$$ or $$-3$$

there is no definite answer to Is x equal to 1?, x can be $$-3$$ or $$1$$.

Statement 2 alone is insufficient.
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Re: Is x equal to 1? (1) (3x – 2) + (3x + 2) = 6 (2) x^2 + 2x = 3   [#permalink] 16 Dec 2018, 22:44
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