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Is x^2 – x – 12 = 0?

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Senior Manager
Senior Manager
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Joined: 25 Dec 2018
Posts: 308
Location: India
Concentration: General Management, Finance
GMAT Date: 02-18-2019
GPA: 3.4
WE: Engineering (Consulting)
Is x^2 – x – 12 = 0?  [#permalink]

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New post 06 Apr 2019, 06:10
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

63% (01:00) correct 37% (01:29) wrong based on 19 sessions

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Is x^2 – x – 12 = 0?

(1) x^2 + x – 6 = 0

(2) x < 0
Senior Manager
Senior Manager
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Joined: 28 Jul 2016
Posts: 383
Location: India
Concentration: Finance, Human Resources
GPA: 3.97
Re: Is x^2 – x – 12 = 0?  [#permalink]

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New post 06 Apr 2019, 06:20
Is \(x^2 – x – 12 = 0\)?

(1) \(x^2 + x – 6 = 0\)

(2)\(x < 0\)

Given equation \(x^2 – x – 12 = 0\)
factorize the given equation
(x-4)(x+3)=0
thus x= 4,-3

Statement 1: (1) \(x^2 + x – 6 = 0\)
factorize the given equation
(x+3)(x-2)= 0. Thus
x = -3,2 (not sufficient)

Statement 2: (2)\(x < 0\)
(not sufficient)
Combine 1 and 2
x= -3
which satisfies given equation
Thus answer C
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Senior Manager
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Re: Is x^2 – x – 12 = 0?  [#permalink]

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New post 06 Apr 2019, 06:21
IMO C

factorize the given expression , we get x= 4 or -3 ,

so we have to look for 4 or -3 in the given statements




statement 1

Factorize statement 1 and we get x = -3 and 2

two values,

insufficient

statement 2

x<0 , insufficient


combine these two ,

we get x= -3 and this is the amswer

IMO C

award kudos if helpful

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Re: Is x^2 – x – 12 = 0?   [#permalink] 06 Apr 2019, 06:21
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