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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
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Joined: 16 Dec 2018
Posts: 5
Is x equal to 1? (1) (3x – 2) + (3x + 2) = 6 (2) x^2 + 2x = 3  [#permalink]

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New post 16 Dec 2018, 07:00
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Question Stats:

59% (00:52) correct 41% (00:54) wrong based on 27 sessions

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Is x equal to 1?

(1) (3x – 2) + (3x + 2) = 6
(2) x^2 + 2x = 3
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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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New post 16 Dec 2018, 07:24
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

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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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New post 16 Dec 2018, 08:25
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.
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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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New post 16 Dec 2018, 21:14
Is x = 1 ?

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

Simplifying, 6x = 6
x = 1

Sufficient

St 2 ; x^2 + 2x = 3

Instead of solving a quadratic equation after taking 3 to L.H.S

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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New post 16 Dec 2018, 21:44
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 &nbs [#permalink] 16 Dec 2018, 21:44
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