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# What is the value of z ?

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SVP
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 1915
Location: Pakistan
GPA: 3.39
What is the value of z ?  [#permalink]

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23 Mar 2017, 10:54
00:00

Difficulty:

15% (low)

Question Stats:

84% (00:59) correct 16% (01:03) wrong based on 36 sessions

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What is the value of z ?

(1) 6z = z^2 + 9
(2) z^2 = –z + 12

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Joined: 17 Jul 2014
Posts: 2621
Location: United States (IL)
Concentration: Finance, Economics
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Re: What is the value of z ?  [#permalink]

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23 Mar 2017, 12:27
What is the value of z ?

(1) 6z = z^2 + 9
(2) z^2 = –z + 12

1. rewrite: z^2 - 6z + 9 = 0
(z-3)(z-3)=0
z=3
sufficient.

2. rewrite: z^2 +z - 12 = 0
(z-3)(z+4)=0
z=3 or z=-4
2 values - not sufficient.
Re: What is the value of z ? &nbs [#permalink] 23 Mar 2017, 12:27
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